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Finding the Fourth Proportional to 11,957.42, 16,500.92 and 6,652.13

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Solution

The fourth proportional to 11,957.42, 16,500.92 and 6,652.13 is: 9,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.42 : 16,500.92 = 6,652.13 : x
  2. Step 2: Convert to fraction form
    11,957.42/16,500.92 = 6,652.13/x
  3. Step 3: Cross multiply
    11,957.42x = 16,500.92 × 6,652.13
  4. Step 4: Simplify right side
    11,957.42x = 109,766,149.19
  5. Step 5: Solve for x
    x = 109,766,149.19/11,957.42
  6. Step 6: Final answer
    x = 9,179.75

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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.