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Finding the Fourth Proportional to 7,755.48, 11,652.66 and 7,288.92

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Solution

The fourth proportional to 7,755.48, 11,652.66 and 7,288.92 is: 10,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.48 : 11,652.66 = 7,288.92 : x
  2. Step 2: Convert to fraction form
    7,755.48/11,652.66 = 7,288.92/x
  3. Step 3: Cross multiply
    7,755.48x = 11,652.66 × 7,288.92
  4. Step 4: Simplify right side
    7,755.48x = 84,935,306.53
  5. Step 5: Solve for x
    x = 84,935,306.53/7,755.48
  6. Step 6: Final answer
    x = 10,951.65

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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.