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Finding the Fourth Proportional to 8,677.26, 11,974.05 and 5,140.74

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Solution

The fourth proportional to 8,677.26, 11,974.05 and 5,140.74 is: 7,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.26 : 11,974.05 = 5,140.74 : x
  2. Step 2: Convert to fraction form
    8,677.26/11,974.05 = 5,140.74/x
  3. Step 3: Cross multiply
    8,677.26x = 11,974.05 × 5,140.74
  4. Step 4: Simplify right side
    8,677.26x = 61,555,477.80
  5. Step 5: Solve for x
    x = 61,555,477.80/8,677.26
  6. Step 6: Final answer
    x = 7,093.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.