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Finding the Fourth Proportional to 10,600.96, 15,896.04 and 4,022.14

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Solution

The fourth proportional to 10,600.96, 15,896.04 and 4,022.14 is: 6,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.96 : 15,896.04 = 4,022.14 : x
  2. Step 2: Convert to fraction form
    10,600.96/15,896.04 = 4,022.14/x
  3. Step 3: Cross multiply
    10,600.96x = 15,896.04 × 4,022.14
  4. Step 4: Simplify right side
    10,600.96x = 63,936,098.33
  5. Step 5: Solve for x
    x = 63,936,098.33/10,600.96
  6. Step 6: Final answer
    x = 6,031.16

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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.