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Finding the Fourth Proportional to 6,912.65, 10,371.00 and 2,232.57

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Solution

The fourth proportional to 6,912.65, 10,371.00 and 2,232.57 is: 3,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.65 : 10,371.00 = 2,232.57 : x
  2. Step 2: Convert to fraction form
    6,912.65/10,371.00 = 2,232.57/x
  3. Step 3: Cross multiply
    6,912.65x = 10,371.00 × 2,232.57
  4. Step 4: Simplify right side
    6,912.65x = 23,154,030.73
  5. Step 5: Solve for x
    x = 23,154,030.73/6,912.65
  6. Step 6: Final answer
    x = 3,349.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.