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Finding the Fourth Proportional to 10,437.96, 15,633.58 and 8,081.88

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Solution

The fourth proportional to 10,437.96, 15,633.58 and 8,081.88 is: 12,104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.96 : 15,633.58 = 8,081.88 : x
  2. Step 2: Convert to fraction form
    10,437.96/15,633.58 = 8,081.88/x
  3. Step 3: Cross multiply
    10,437.96x = 15,633.58 × 8,081.88
  4. Step 4: Simplify right side
    10,437.96x = 126,348,717.53
  5. Step 5: Solve for x
    x = 126,348,717.53/10,437.96
  6. Step 6: Final answer
    x = 12,104.73

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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.