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Finding the Fourth Proportional to 8,239.92, 12,354.40 and 5,777.72

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Solution

The fourth proportional to 8,239.92, 12,354.40 and 5,777.72 is: 8,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.92 : 12,354.40 = 5,777.72 : x
  2. Step 2: Convert to fraction form
    8,239.92/12,354.40 = 5,777.72/x
  3. Step 3: Cross multiply
    8,239.92x = 12,354.40 × 5,777.72
  4. Step 4: Simplify right side
    8,239.92x = 71,380,263.97
  5. Step 5: Solve for x
    x = 71,380,263.97/8,239.92
  6. Step 6: Final answer
    x = 8,662.74

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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.