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Finding the Fourth Proportional to 10,691.29, 16,024.99 and 4,447.05

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Solution

The fourth proportional to 10,691.29, 16,024.99 and 4,447.05 is: 6,665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.29 : 16,024.99 = 4,447.05 : x
  2. Step 2: Convert to fraction form
    10,691.29/16,024.99 = 4,447.05/x
  3. Step 3: Cross multiply
    10,691.29x = 16,024.99 × 4,447.05
  4. Step 4: Simplify right side
    10,691.29x = 71,263,959.05
  5. Step 5: Solve for x
    x = 71,263,959.05/10,691.29
  6. Step 6: Final answer
    x = 6,665.61

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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.