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Finding the Fourth Proportional to 7,663.56, 11,489.14 and 2,395.86

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Solution

The fourth proportional to 7,663.56, 11,489.14 and 2,395.86 is: 3,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.56 : 11,489.14 = 2,395.86 : x
  2. Step 2: Convert to fraction form
    7,663.56/11,489.14 = 2,395.86/x
  3. Step 3: Cross multiply
    7,663.56x = 11,489.14 × 2,395.86
  4. Step 4: Simplify right side
    7,663.56x = 27,526,350.61
  5. Step 5: Solve for x
    x = 27,526,350.61/7,663.56
  6. Step 6: Final answer
    x = 3,591.85

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Why These Related Problems?

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