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Finding the Fourth Proportional to 10,163.46, 14,032.10 and 6,391.82

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Solution

The fourth proportional to 10,163.46, 14,032.10 and 6,391.82 is: 8,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.46 : 14,032.10 = 6,391.82 : x
  2. Step 2: Convert to fraction form
    10,163.46/14,032.10 = 6,391.82/x
  3. Step 3: Cross multiply
    10,163.46x = 14,032.10 × 6,391.82
  4. Step 4: Simplify right side
    10,163.46x = 89,690,657.42
  5. Step 5: Solve for x
    x = 89,690,657.42/10,163.46
  6. Step 6: Final answer
    x = 8,824.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.