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Finding the Fourth Proportional to 10,489.96, 15,732.84 and 6,730.61

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Solution

The fourth proportional to 10,489.96, 15,732.84 and 6,730.61 is: 10,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.96 : 15,732.84 = 6,730.61 : x
  2. Step 2: Convert to fraction form
    10,489.96/15,732.84 = 6,730.61/x
  3. Step 3: Cross multiply
    10,489.96x = 15,732.84 × 6,730.61
  4. Step 4: Simplify right side
    10,489.96x = 105,891,610.23
  5. Step 5: Solve for x
    x = 105,891,610.23/10,489.96
  6. Step 6: Final answer
    x = 10,094.57

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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.