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Finding the Fourth Proportional to 10,866,304.98, 16,299,951.98 and 7,685,629.38

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Solution

The fourth proportional to 10,866,304.98, 16,299,951.98 and 7,685,629.38 is: 11,528,793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866,304.98 : 16,299,951.98 = 7,685,629.38 : x
  2. Step 2: Convert to fraction form
    10,866,304.98/16,299,951.98 = 7,685,629.38/x
  3. Step 3: Cross multiply
    10,866,304.98x = 16,299,951.98 × 7,685,629.38
  4. Step 4: Simplify right side
    10,866,304.98x = 125,275,389,791,649.02
  5. Step 5: Solve for x
    x = 125,275,389,791,649.02/10,866,304.98
  6. Step 6: Final answer
    x = 11,528,793.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.