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Finding the Fourth Proportional to 7,139.85, 10,712.84 and 2,760.38

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Solution

The fourth proportional to 7,139.85, 10,712.84 and 2,760.38 is: 4,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.85 : 10,712.84 = 2,760.38 : x
  2. Step 2: Convert to fraction form
    7,139.85/10,712.84 = 2,760.38/x
  3. Step 3: Cross multiply
    7,139.85x = 10,712.84 × 2,760.38
  4. Step 4: Simplify right side
    7,139.85x = 29,571,441.91
  5. Step 5: Solve for x
    x = 29,571,441.91/7,139.85
  6. Step 6: Final answer
    x = 4,141.75

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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.