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Finding the Fourth Proportional to 7,691.81, 10,614.56 and 4,334.91

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Solution

The fourth proportional to 7,691.81, 10,614.56 and 4,334.91 is: 5,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.81 : 10,614.56 = 4,334.91 : x
  2. Step 2: Convert to fraction form
    7,691.81/10,614.56 = 4,334.91/x
  3. Step 3: Cross multiply
    7,691.81x = 10,614.56 × 4,334.91
  4. Step 4: Simplify right side
    7,691.81x = 46,013,140.62
  5. Step 5: Solve for x
    x = 46,013,140.62/7,691.81
  6. Step 6: Final answer
    x = 5,982.10

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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.