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Finding the Fourth Proportional to 11,747.61, 16,212.17 and 6,442.62

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Solution

The fourth proportional to 11,747.61, 16,212.17 and 6,442.62 is: 8,891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.61 : 16,212.17 = 6,442.62 : x
  2. Step 2: Convert to fraction form
    11,747.61/16,212.17 = 6,442.62/x
  3. Step 3: Cross multiply
    11,747.61x = 16,212.17 × 6,442.62
  4. Step 4: Simplify right side
    11,747.61x = 104,448,850.69
  5. Step 5: Solve for x
    x = 104,448,850.69/11,747.61
  6. Step 6: Final answer
    x = 8,891.07

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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.