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Finding the Fourth Proportional to 8,382.57, 11,568.95 and 5,027.23

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Solution

The fourth proportional to 8,382.57, 11,568.95 and 5,027.23 is: 6,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.57 : 11,568.95 = 5,027.23 : x
  2. Step 2: Convert to fraction form
    8,382.57/11,568.95 = 5,027.23/x
  3. Step 3: Cross multiply
    8,382.57x = 11,568.95 × 5,027.23
  4. Step 4: Simplify right side
    8,382.57x = 58,159,743.59
  5. Step 5: Solve for x
    x = 58,159,743.59/8,382.57
  6. Step 6: Final answer
    x = 6,938.18

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Why These Related Problems?

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