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Finding the Fourth Proportional to 10,425.52, 15,642.62 and 4,189.97

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Solution

The fourth proportional to 10,425.52, 15,642.62 and 4,189.97 is: 6,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.52 : 15,642.62 = 4,189.97 : x
  2. Step 2: Convert to fraction form
    10,425.52/15,642.62 = 4,189.97/x
  3. Step 3: Cross multiply
    10,425.52x = 15,642.62 × 4,189.97
  4. Step 4: Simplify right side
    10,425.52x = 65,542,054.40
  5. Step 5: Solve for x
    x = 65,542,054.40/10,425.52
  6. Step 6: Final answer
    x = 6,286.70

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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.