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Finding the Fourth Proportional to 10,481.64, 15,722.70 and 8,391.96

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Solution

The fourth proportional to 10,481.64, 15,722.70 and 8,391.96 is: 12,588.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.64 : 15,722.70 = 8,391.96 : x
  2. Step 2: Convert to fraction form
    10,481.64/15,722.70 = 8,391.96/x
  3. Step 3: Cross multiply
    10,481.64x = 15,722.70 × 8,391.96
  4. Step 4: Simplify right side
    10,481.64x = 131,944,269.49
  5. Step 5: Solve for x
    x = 131,944,269.49/10,481.64
  6. Step 6: Final answer
    x = 12,588.13

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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.