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Finding the Fourth Proportional to 11,396.87, 15,705.92 and 8,204.53

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Solution

The fourth proportional to 11,396.87, 15,705.92 and 8,204.53 is: 11,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.87 : 15,705.92 = 8,204.53 : x
  2. Step 2: Convert to fraction form
    11,396.87/15,705.92 = 8,204.53/x
  3. Step 3: Cross multiply
    11,396.87x = 15,705.92 × 8,204.53
  4. Step 4: Simplify right side
    11,396.87x = 128,859,691.82
  5. Step 5: Solve for x
    x = 128,859,691.82/11,396.87
  6. Step 6: Final answer
    x = 11,306.59

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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.