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Finding the Fourth Proportional to 6,760.71, 10,141.29 and 2,381.22

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Solution

The fourth proportional to 6,760.71, 10,141.29 and 2,381.22 is: 3,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.71 : 10,141.29 = 2,381.22 : x
  2. Step 2: Convert to fraction form
    6,760.71/10,141.29 = 2,381.22/x
  3. Step 3: Cross multiply
    6,760.71x = 10,141.29 × 2,381.22
  4. Step 4: Simplify right side
    6,760.71x = 24,148,642.57
  5. Step 5: Solve for x
    x = 24,148,642.57/6,760.71
  6. Step 6: Final answer
    x = 3,571.91

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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.