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Finding the Fourth Proportional to 11,557.27, 15,949.04 and 6,522.56

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Solution

The fourth proportional to 11,557.27, 15,949.04 and 6,522.56 is: 9,001.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.27 : 15,949.04 = 6,522.56 : x
  2. Step 2: Convert to fraction form
    11,557.27/15,949.04 = 6,522.56/x
  3. Step 3: Cross multiply
    11,557.27x = 15,949.04 × 6,522.56
  4. Step 4: Simplify right side
    11,557.27x = 104,028,517.79
  5. Step 5: Solve for x
    x = 104,028,517.79/11,557.27
  6. Step 6: Final answer
    x = 9,001.14

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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.