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Finding the Fourth Proportional to 7,306.61, 10,061.91 and 6,349.10

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Solution

The fourth proportional to 7,306.61, 10,061.91 and 6,349.10 is: 8,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.61 : 10,061.91 = 6,349.10 : x
  2. Step 2: Convert to fraction form
    7,306.61/10,061.91 = 6,349.10/x
  3. Step 3: Cross multiply
    7,306.61x = 10,061.91 × 6,349.10
  4. Step 4: Simplify right side
    7,306.61x = 63,884,022.47
  5. Step 5: Solve for x
    x = 63,884,022.47/7,306.61
  6. Step 6: Final answer
    x = 8,743.33

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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.