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Finding the Fourth Proportional to 8,255.78, 12,387.92 and 5,484.36

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Solution

The fourth proportional to 8,255.78, 12,387.92 and 5,484.36 is: 8,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.78 : 12,387.92 = 5,484.36 : x
  2. Step 2: Convert to fraction form
    8,255.78/12,387.92 = 5,484.36/x
  3. Step 3: Cross multiply
    8,255.78x = 12,387.92 × 5,484.36
  4. Step 4: Simplify right side
    8,255.78x = 67,939,812.93
  5. Step 5: Solve for x
    x = 67,939,812.93/8,255.78
  6. Step 6: Final answer
    x = 8,229.36

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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.