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Finding the Fourth Proportional to 8,081.66, 12,122.73 and 3,151.10

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Solution

The fourth proportional to 8,081.66, 12,122.73 and 3,151.10 is: 4,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.66 : 12,122.73 = 3,151.10 : x
  2. Step 2: Convert to fraction form
    8,081.66/12,122.73 = 3,151.10/x
  3. Step 3: Cross multiply
    8,081.66x = 12,122.73 × 3,151.10
  4. Step 4: Simplify right side
    8,081.66x = 38,199,934.50
  5. Step 5: Solve for x
    x = 38,199,934.50/8,081.66
  6. Step 6: Final answer
    x = 4,726.74

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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.