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Finding the Fourth Proportional to 10,920.71, 15,069.33 and 6,139.69

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Solution

The fourth proportional to 10,920.71, 15,069.33 and 6,139.69 is: 8,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.71 : 15,069.33 = 6,139.69 : x
  2. Step 2: Convert to fraction form
    10,920.71/15,069.33 = 6,139.69/x
  3. Step 3: Cross multiply
    10,920.71x = 15,069.33 × 6,139.69
  4. Step 4: Simplify right side
    10,920.71x = 92,520,977.03
  5. Step 5: Solve for x
    x = 92,520,977.03/10,920.71
  6. Step 6: Final answer
    x = 8,472.06

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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.