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Finding the Fourth Proportional to 8,099.52, 11,178.18 and 4,957.80

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Solution

The fourth proportional to 8,099.52, 11,178.18 and 4,957.80 is: 6,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.52 : 11,178.18 = 4,957.80 : x
  2. Step 2: Convert to fraction form
    8,099.52/11,178.18 = 4,957.80/x
  3. Step 3: Cross multiply
    8,099.52x = 11,178.18 × 4,957.80
  4. Step 4: Simplify right side
    8,099.52x = 55,419,180.80
  5. Step 5: Solve for x
    x = 55,419,180.80/8,099.52
  6. Step 6: Final answer
    x = 6,842.28

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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.