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Finding the Fourth Proportional to 8,371.49, 11,551.85 and 5,014.24

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Solution

The fourth proportional to 8,371.49, 11,551.85 and 5,014.24 is: 6,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.49 : 11,551.85 = 5,014.24 : x
  2. Step 2: Convert to fraction form
    8,371.49/11,551.85 = 5,014.24/x
  3. Step 3: Cross multiply
    8,371.49x = 11,551.85 × 5,014.24
  4. Step 4: Simplify right side
    8,371.49x = 57,923,713.20
  5. Step 5: Solve for x
    x = 57,923,713.20/8,371.49
  6. Step 6: Final answer
    x = 6,919.17

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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.