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Finding the Fourth Proportional to 8,500.52, 11,731.50 and 5,144.16

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Solution

The fourth proportional to 8,500.52, 11,731.50 and 5,144.16 is: 7,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.52 : 11,731.50 = 5,144.16 : x
  2. Step 2: Convert to fraction form
    8,500.52/11,731.50 = 5,144.16/x
  3. Step 3: Cross multiply
    8,500.52x = 11,731.50 × 5,144.16
  4. Step 4: Simplify right side
    8,500.52x = 60,348,713.04
  5. Step 5: Solve for x
    x = 60,348,713.04/8,500.52
  6. Step 6: Final answer
    x = 7,099.41

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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.