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Finding the Fourth Proportional to 11,032.24, 16,553.86 and 6,871.20

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Solution

The fourth proportional to 11,032.24, 16,553.86 and 6,871.20 is: 10,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.24 : 16,553.86 = 6,871.20 : x
  2. Step 2: Convert to fraction form
    11,032.24/16,553.86 = 6,871.20/x
  3. Step 3: Cross multiply
    11,032.24x = 16,553.86 × 6,871.20
  4. Step 4: Simplify right side
    11,032.24x = 113,744,882.83
  5. Step 5: Solve for x
    x = 113,744,882.83/11,032.24
  6. Step 6: Final answer
    x = 10,310.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.