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Finding the Fourth Proportional to 10,671.38, 15,999.14 and 5,119.44

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Solution

The fourth proportional to 10,671.38, 15,999.14 and 5,119.44 is: 7,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.38 : 15,999.14 = 5,119.44 : x
  2. Step 2: Convert to fraction form
    10,671.38/15,999.14 = 5,119.44/x
  3. Step 3: Cross multiply
    10,671.38x = 15,999.14 × 5,119.44
  4. Step 4: Simplify right side
    10,671.38x = 81,906,531.69
  5. Step 5: Solve for x
    x = 81,906,531.69/10,671.38
  6. Step 6: Final answer
    x = 7,675.35

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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.