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Finding the Fourth Proportional to 10,964.20, 15,134.82 and 8,311.40

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Solution

The fourth proportional to 10,964.20, 15,134.82 and 8,311.40 is: 11,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.20 : 15,134.82 = 8,311.40 : x
  2. Step 2: Convert to fraction form
    10,964.20/15,134.82 = 8,311.40/x
  3. Step 3: Cross multiply
    10,964.20x = 15,134.82 × 8,311.40
  4. Step 4: Simplify right side
    10,964.20x = 125,791,542.95
  5. Step 5: Solve for x
    x = 125,791,542.95/10,964.20
  6. Step 6: Final answer
    x = 11,472.93

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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.