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Finding the Fourth Proportional to 7,691.32, 10,614.12 and 4,547.50

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Solution

The fourth proportional to 7,691.32, 10,614.12 and 4,547.50 is: 6,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.32 : 10,614.12 = 4,547.50 : x
  2. Step 2: Convert to fraction form
    7,691.32/10,614.12 = 4,547.50/x
  3. Step 3: Cross multiply
    7,691.32x = 10,614.12 × 4,547.50
  4. Step 4: Simplify right side
    7,691.32x = 48,267,710.70
  5. Step 5: Solve for x
    x = 48,267,710.70/7,691.32
  6. Step 6: Final answer
    x = 6,275.61

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