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Finding the Fourth Proportional to 8,677.64, 13,017.26 and 2,834.28

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Solution

The fourth proportional to 8,677.64, 13,017.26 and 2,834.28 is: 4,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.64 : 13,017.26 = 2,834.28 : x
  2. Step 2: Convert to fraction form
    8,677.64/13,017.26 = 2,834.28/x
  3. Step 3: Cross multiply
    8,677.64x = 13,017.26 × 2,834.28
  4. Step 4: Simplify right side
    8,677.64x = 36,894,559.67
  5. Step 5: Solve for x
    x = 36,894,559.67/8,677.64
  6. Step 6: Final answer
    x = 4,251.68

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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.