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Finding the Fourth Proportional to 10,655.66, 15,982.92 and 4,081.34

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Solution

The fourth proportional to 10,655.66, 15,982.92 and 4,081.34 is: 6,121.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.66 : 15,982.92 = 4,081.34 : x
  2. Step 2: Convert to fraction form
    10,655.66/15,982.92 = 4,081.34/x
  3. Step 3: Cross multiply
    10,655.66x = 15,982.92 × 4,081.34
  4. Step 4: Simplify right side
    10,655.66x = 65,231,730.71
  5. Step 5: Solve for x
    x = 65,231,730.71/10,655.66
  6. Step 6: Final answer
    x = 6,121.79

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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.