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Finding the Fourth Proportional to 10,565.66, 15,842.12 and 7,275.17

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Solution

The fourth proportional to 10,565.66, 15,842.12 and 7,275.17 is: 10,908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.66 : 15,842.12 = 7,275.17 : x
  2. Step 2: Convert to fraction form
    10,565.66/15,842.12 = 7,275.17/x
  3. Step 3: Cross multiply
    10,565.66x = 15,842.12 × 7,275.17
  4. Step 4: Simplify right side
    10,565.66x = 115,254,000.57
  5. Step 5: Solve for x
    x = 115,254,000.57/10,565.66
  6. Step 6: Final answer
    x = 10,908.36

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