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Finding the Fourth Proportional to 8,315.50, 12,475.31 and 2,472.09

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Solution

The fourth proportional to 8,315.50, 12,475.31 and 2,472.09 is: 3,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.50 : 12,475.31 = 2,472.09 : x
  2. Step 2: Convert to fraction form
    8,315.50/12,475.31 = 2,472.09/x
  3. Step 3: Cross multiply
    8,315.50x = 12,475.31 × 2,472.09
  4. Step 4: Simplify right side
    8,315.50x = 30,840,089.10
  5. Step 5: Solve for x
    x = 30,840,089.10/8,315.50
  6. Step 6: Final answer
    x = 3,708.75

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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.