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Finding the Fourth Proportional to 8,357.50, 12,536.41 and 3,912.70

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Solution

The fourth proportional to 8,357.50, 12,536.41 and 3,912.70 is: 5,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.50 : 12,536.41 = 3,912.70 : x
  2. Step 2: Convert to fraction form
    8,357.50/12,536.41 = 3,912.70/x
  3. Step 3: Cross multiply
    8,357.50x = 12,536.41 × 3,912.70
  4. Step 4: Simplify right side
    8,357.50x = 49,051,211.41
  5. Step 5: Solve for x
    x = 49,051,211.41/8,357.50
  6. Step 6: Final answer
    x = 5,869.12

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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.