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Finding the Fourth Proportional to 10,863.43, 14,991.89 and 6,147.61

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Solution

The fourth proportional to 10,863.43, 14,991.89 and 6,147.61 is: 8,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.43 : 14,991.89 = 6,147.61 : x
  2. Step 2: Convert to fraction form
    10,863.43/14,991.89 = 6,147.61/x
  3. Step 3: Cross multiply
    10,863.43x = 14,991.89 × 6,147.61
  4. Step 4: Simplify right side
    10,863.43x = 92,164,292.88
  5. Step 5: Solve for x
    x = 92,164,292.88/10,863.43
  6. Step 6: Final answer
    x = 8,483.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.