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Finding the Fourth Proportional to 8,500.52, 11,730.48 and 5,142.80

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Solution

The fourth proportional to 8,500.52, 11,730.48 and 5,142.80 is: 7,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.52 : 11,730.48 = 5,142.80 : x
  2. Step 2: Convert to fraction form
    8,500.52/11,730.48 = 5,142.80/x
  3. Step 3: Cross multiply
    8,500.52x = 11,730.48 × 5,142.80
  4. Step 4: Simplify right side
    8,500.52x = 60,327,512.54
  5. Step 5: Solve for x
    x = 60,327,512.54/8,500.52
  6. Step 6: Final answer
    x = 7,096.92

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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.