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Finding the Fourth Proportional to 8,139.68, 12,214.52 and 3,757.46

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Solution

The fourth proportional to 8,139.68, 12,214.52 and 3,757.46 is: 5,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.68 : 12,214.52 = 3,757.46 : x
  2. Step 2: Convert to fraction form
    8,139.68/12,214.52 = 3,757.46/x
  3. Step 3: Cross multiply
    8,139.68x = 12,214.52 × 3,757.46
  4. Step 4: Simplify right side
    8,139.68x = 45,895,570.32
  5. Step 5: Solve for x
    x = 45,895,570.32/8,139.68
  6. Step 6: Final answer
    x = 5,638.50

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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.