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Finding the Fourth Proportional to 10,555.38, 14,565.16 and 5,839.02

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Solution

The fourth proportional to 10,555.38, 14,565.16 and 5,839.02 is: 8,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.38 : 14,565.16 = 5,839.02 : x
  2. Step 2: Convert to fraction form
    10,555.38/14,565.16 = 5,839.02/x
  3. Step 3: Cross multiply
    10,555.38x = 14,565.16 × 5,839.02
  4. Step 4: Simplify right side
    10,555.38x = 85,046,260.54
  5. Step 5: Solve for x
    x = 85,046,260.54/10,555.38
  6. Step 6: Final answer
    x = 8,057.15

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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.