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Finding the Fourth Proportional to 8,266.39, 12,377.68 and 4,974.95

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Solution

The fourth proportional to 8,266.39, 12,377.68 and 4,974.95 is: 7,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.39 : 12,377.68 = 4,974.95 : x
  2. Step 2: Convert to fraction form
    8,266.39/12,377.68 = 4,974.95/x
  3. Step 3: Cross multiply
    8,266.39x = 12,377.68 × 4,974.95
  4. Step 4: Simplify right side
    8,266.39x = 61,578,357.62
  5. Step 5: Solve for x
    x = 61,578,357.62/8,266.39
  6. Step 6: Final answer
    x = 7,449.25

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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.