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Finding the Fourth Proportional to 11,167.53, 15,414.80 and 8,032.83

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Solution

The fourth proportional to 11,167.53, 15,414.80 and 8,032.83 is: 11,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.53 : 15,414.80 = 8,032.83 : x
  2. Step 2: Convert to fraction form
    11,167.53/15,414.80 = 8,032.83/x
  3. Step 3: Cross multiply
    11,167.53x = 15,414.80 × 8,032.83
  4. Step 4: Simplify right side
    11,167.53x = 123,824,427.72
  5. Step 5: Solve for x
    x = 123,824,427.72/11,167.53
  6. Step 6: Final answer
    x = 11,087.90

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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.