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Finding the Fourth Proportional to 11,711.01, 17,542.89 and 5,462.40

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Solution

The fourth proportional to 11,711.01, 17,542.89 and 5,462.40 is: 8,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.01 : 17,542.89 = 5,462.40 : x
  2. Step 2: Convert to fraction form
    11,711.01/17,542.89 = 5,462.40/x
  3. Step 3: Cross multiply
    11,711.01x = 17,542.89 × 5,462.40
  4. Step 4: Simplify right side
    11,711.01x = 95,826,282.34
  5. Step 5: Solve for x
    x = 95,826,282.34/11,711.01
  6. Step 6: Final answer
    x = 8,182.58

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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.