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Finding the Fourth Proportional to 11,468.85, 17,202.06 and 3,149.61

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Solution

The fourth proportional to 11,468.85, 17,202.06 and 3,149.61 is: 4,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.85 : 17,202.06 = 3,149.61 : x
  2. Step 2: Convert to fraction form
    11,468.85/17,202.06 = 3,149.61/x
  3. Step 3: Cross multiply
    11,468.85x = 17,202.06 × 3,149.61
  4. Step 4: Simplify right side
    11,468.85x = 54,179,780.20
  5. Step 5: Solve for x
    x = 54,179,780.20/11,468.85
  6. Step 6: Final answer
    x = 4,724.08

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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.