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Finding the Fourth Proportional to 8,158.68, 12,238.50 and 2,315.76

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Solution

The fourth proportional to 8,158.68, 12,238.50 and 2,315.76 is: 3,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.68 : 12,238.50 = 2,315.76 : x
  2. Step 2: Convert to fraction form
    8,158.68/12,238.50 = 2,315.76/x
  3. Step 3: Cross multiply
    8,158.68x = 12,238.50 × 2,315.76
  4. Step 4: Simplify right side
    8,158.68x = 28,341,428.76
  5. Step 5: Solve for x
    x = 28,341,428.76/8,158.68
  6. Step 6: Final answer
    x = 3,473.78

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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.