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Finding the Fourth Proportional to 10,865.70, 16,304.04 and 5,026.50

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Solution

The fourth proportional to 10,865.70, 16,304.04 and 5,026.50 is: 7,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.70 : 16,304.04 = 5,026.50 : x
  2. Step 2: Convert to fraction form
    10,865.70/16,304.04 = 5,026.50/x
  3. Step 3: Cross multiply
    10,865.70x = 16,304.04 × 5,026.50
  4. Step 4: Simplify right side
    10,865.70x = 81,952,257.06
  5. Step 5: Solve for x
    x = 81,952,257.06/10,865.70
  6. Step 6: Final answer
    x = 7,542.29

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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.