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Finding the Fourth Proportional to 8,234.89, 12,343.47 and 3,557.10

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Solution

The fourth proportional to 8,234.89, 12,343.47 and 3,557.10 is: 5,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.89 : 12,343.47 = 3,557.10 : x
  2. Step 2: Convert to fraction form
    8,234.89/12,343.47 = 3,557.10/x
  3. Step 3: Cross multiply
    8,234.89x = 12,343.47 × 3,557.10
  4. Step 4: Simplify right side
    8,234.89x = 43,906,957.14
  5. Step 5: Solve for x
    x = 43,906,957.14/8,234.89
  6. Step 6: Final answer
    x = 5,331.82

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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.