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Finding the Fourth Proportional to 8,125.63, 12,189.18 and 2,282.20

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Solution

The fourth proportional to 8,125.63, 12,189.18 and 2,282.20 is: 3,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.63 : 12,189.18 = 2,282.20 : x
  2. Step 2: Convert to fraction form
    8,125.63/12,189.18 = 2,282.20/x
  3. Step 3: Cross multiply
    8,125.63x = 12,189.18 × 2,282.20
  4. Step 4: Simplify right side
    8,125.63x = 27,818,124.68
  5. Step 5: Solve for x
    x = 27,818,124.68/8,125.63
  6. Step 6: Final answer
    x = 3,423.50

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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.