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Finding the Fourth Proportional to 8,382.84, 11,567.42 and 5,025.56

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Solution

The fourth proportional to 8,382.84, 11,567.42 and 5,025.56 is: 6,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.84 : 11,567.42 = 5,025.56 : x
  2. Step 2: Convert to fraction form
    8,382.84/11,567.42 = 5,025.56/x
  3. Step 3: Cross multiply
    8,382.84x = 11,567.42 × 5,025.56
  4. Step 4: Simplify right side
    8,382.84x = 58,132,763.26
  5. Step 5: Solve for x
    x = 58,132,763.26/8,382.84
  6. Step 6: Final answer
    x = 6,934.73

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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.