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Finding the Fourth Proportional to 8,158.68, 12,239.85 and 2,964.57

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Solution

The fourth proportional to 8,158.68, 12,239.85 and 2,964.57 is: 4,447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.68 : 12,239.85 = 2,964.57 : x
  2. Step 2: Convert to fraction form
    8,158.68/12,239.85 = 2,964.57/x
  3. Step 3: Cross multiply
    8,158.68x = 12,239.85 × 2,964.57
  4. Step 4: Simplify right side
    8,158.68x = 36,285,892.11
  5. Step 5: Solve for x
    x = 36,285,892.11/8,158.68
  6. Step 6: Final answer
    x = 4,447.52

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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.