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Finding the Fourth Proportional to 10,489.97, 14,476.20 and 6,013.82

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Solution

The fourth proportional to 10,489.97, 14,476.20 and 6,013.82 is: 8,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.97 : 14,476.20 = 6,013.82 : x
  2. Step 2: Convert to fraction form
    10,489.97/14,476.20 = 6,013.82/x
  3. Step 3: Cross multiply
    10,489.97x = 14,476.20 × 6,013.82
  4. Step 4: Simplify right side
    10,489.97x = 87,057,261.08
  5. Step 5: Solve for x
    x = 87,057,261.08/10,489.97
  6. Step 6: Final answer
    x = 8,299.10

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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.