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Finding the Fourth Proportional to 8,440.76, 11,651.92 and 5,801.78

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Solution

The fourth proportional to 8,440.76, 11,651.92 and 5,801.78 is: 8,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.76 : 11,651.92 = 5,801.78 : x
  2. Step 2: Convert to fraction form
    8,440.76/11,651.92 = 5,801.78/x
  3. Step 3: Cross multiply
    8,440.76x = 11,651.92 × 5,801.78
  4. Step 4: Simplify right side
    8,440.76x = 67,601,876.42
  5. Step 5: Solve for x
    x = 67,601,876.42/8,440.76
  6. Step 6: Final answer
    x = 8,008.98

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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.