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Finding the Fourth Proportional to 7,748.87, 11,616.81 and 3,591.86

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Solution

The fourth proportional to 7,748.87, 11,616.81 and 3,591.86 is: 5,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.87 : 11,616.81 = 3,591.86 : x
  2. Step 2: Convert to fraction form
    7,748.87/11,616.81 = 3,591.86/x
  3. Step 3: Cross multiply
    7,748.87x = 11,616.81 × 3,591.86
  4. Step 4: Simplify right side
    7,748.87x = 41,725,897.08
  5. Step 5: Solve for x
    x = 41,725,897.08/7,748.87
  6. Step 6: Final answer
    x = 5,384.78

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