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Finding the Fourth Proportional to 8,642.20, 12,900.55 and 8,034.52

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Solution

The fourth proportional to 8,642.20, 12,900.55 and 8,034.52 is: 11,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.20 : 12,900.55 = 8,034.52 : x
  2. Step 2: Convert to fraction form
    8,642.20/12,900.55 = 8,034.52/x
  3. Step 3: Cross multiply
    8,642.20x = 12,900.55 × 8,034.52
  4. Step 4: Simplify right side
    8,642.20x = 103,649,726.99
  5. Step 5: Solve for x
    x = 103,649,726.99/8,642.20
  6. Step 6: Final answer
    x = 11,993.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.