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Finding the Fourth Proportional to 8,279.74, 11,427.84 and 5,095.78

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Solution

The fourth proportional to 8,279.74, 11,427.84 and 5,095.78 is: 7,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.74 : 11,427.84 = 5,095.78 : x
  2. Step 2: Convert to fraction form
    8,279.74/11,427.84 = 5,095.78/x
  3. Step 3: Cross multiply
    8,279.74x = 11,427.84 × 5,095.78
  4. Step 4: Simplify right side
    8,279.74x = 58,233,758.52
  5. Step 5: Solve for x
    x = 58,233,758.52/8,279.74
  6. Step 6: Final answer
    x = 7,033.28

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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.