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Finding the Fourth Proportional to 11,449.32, 17,174.78 and 3,658.76

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Solution

The fourth proportional to 11,449.32, 17,174.78 and 3,658.76 is: 5,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.32 : 17,174.78 = 3,658.76 : x
  2. Step 2: Convert to fraction form
    11,449.32/17,174.78 = 3,658.76/x
  3. Step 3: Cross multiply
    11,449.32x = 17,174.78 × 3,658.76
  4. Step 4: Simplify right side
    11,449.32x = 62,838,398.07
  5. Step 5: Solve for x
    x = 62,838,398.07/11,449.32
  6. Step 6: Final answer
    x = 5,488.40

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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.