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Finding the Fourth Proportional to 10,425.47, 15,641.13 and 4,189.86

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Solution

The fourth proportional to 10,425.47, 15,641.13 and 4,189.86 is: 6,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.47 : 15,641.13 = 4,189.86 : x
  2. Step 2: Convert to fraction form
    10,425.47/15,641.13 = 4,189.86/x
  3. Step 3: Cross multiply
    10,425.47x = 15,641.13 × 4,189.86
  4. Step 4: Simplify right side
    10,425.47x = 65,534,144.94
  5. Step 5: Solve for x
    x = 65,534,144.94/10,425.47
  6. Step 6: Final answer
    x = 6,285.97

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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.