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Finding the Fourth Proportional to 8,834.25, 13,251.65 and 2,678.25

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Solution

The fourth proportional to 8,834.25, 13,251.65 and 2,678.25 is: 4,017.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.25 : 13,251.65 = 2,678.25 : x
  2. Step 2: Convert to fraction form
    8,834.25/13,251.65 = 2,678.25/x
  3. Step 3: Cross multiply
    8,834.25x = 13,251.65 × 2,678.25
  4. Step 4: Simplify right side
    8,834.25x = 35,491,218.22
  5. Step 5: Solve for x
    x = 35,491,218.22/8,834.25
  6. Step 6: Final answer
    x = 4,017.46

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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.