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Finding the Fourth Proportional to 7,691.69, 10,614.65 and 4,547.88

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Solution

The fourth proportional to 7,691.69, 10,614.65 and 4,547.88 is: 6,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.69 : 10,614.65 = 4,547.88 : x
  2. Step 2: Convert to fraction form
    7,691.69/10,614.65 = 4,547.88/x
  3. Step 3: Cross multiply
    7,691.69x = 10,614.65 × 4,547.88
  4. Step 4: Simplify right side
    7,691.69x = 48,274,131.70
  5. Step 5: Solve for x
    x = 48,274,131.70/7,691.69
  6. Step 6: Final answer
    x = 6,276.14

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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.