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Finding the Fourth Proportional to 10,735.38, 14,815.71 and 6,019.02

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Solution

The fourth proportional to 10,735.38, 14,815.71 and 6,019.02 is: 8,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.38 : 14,815.71 = 6,019.02 : x
  2. Step 2: Convert to fraction form
    10,735.38/14,815.71 = 6,019.02/x
  3. Step 3: Cross multiply
    10,735.38x = 14,815.71 × 6,019.02
  4. Step 4: Simplify right side
    10,735.38x = 89,176,054.80
  5. Step 5: Solve for x
    x = 89,176,054.80/10,735.38
  6. Step 6: Final answer
    x = 8,306.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.