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Finding the Fourth Proportional to 10,672.29, 15,997.50 and 4,096.71

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Solution

The fourth proportional to 10,672.29, 15,997.50 and 4,096.71 is: 6,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.29 : 15,997.50 = 4,096.71 : x
  2. Step 2: Convert to fraction form
    10,672.29/15,997.50 = 4,096.71/x
  3. Step 3: Cross multiply
    10,672.29x = 15,997.50 × 4,096.71
  4. Step 4: Simplify right side
    10,672.29x = 65,537,118.23
  5. Step 5: Solve for x
    x = 65,537,118.23/10,672.29
  6. Step 6: Final answer
    x = 6,140.87

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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.