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Finding the Fourth Proportional to 11,642.58, 17,449.92 and 5,394.12

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Solution

The fourth proportional to 11,642.58, 17,449.92 and 5,394.12 is: 8,084.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.58 : 17,449.92 = 5,394.12 : x
  2. Step 2: Convert to fraction form
    11,642.58/17,449.92 = 5,394.12/x
  3. Step 3: Cross multiply
    11,642.58x = 17,449.92 × 5,394.12
  4. Step 4: Simplify right side
    11,642.58x = 94,126,962.47
  5. Step 5: Solve for x
    x = 94,126,962.47/11,642.58
  6. Step 6: Final answer
    x = 8,084.72

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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.