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Finding the Fourth Proportional to 11,398.71, 15,737.43 and 7,819.66

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Solution

The fourth proportional to 11,398.71, 15,737.43 and 7,819.66 is: 10,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.71 : 15,737.43 = 7,819.66 : x
  2. Step 2: Convert to fraction form
    11,398.71/15,737.43 = 7,819.66/x
  3. Step 3: Cross multiply
    11,398.71x = 15,737.43 × 7,819.66
  4. Step 4: Simplify right side
    11,398.71x = 123,061,351.87
  5. Step 5: Solve for x
    x = 123,061,351.87/11,398.71
  6. Step 6: Final answer
    x = 10,796.08

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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.