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Finding the Fourth Proportional to 8,874, 13,311.24 and 2,718

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Solution

The fourth proportional to 8,874, 13,311.24 and 2,718 is: 4,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874 : 13,311.24 = 2,718 : x
  2. Step 2: Convert to fraction form
    8,874/13,311.24 = 2,718/x
  3. Step 3: Cross multiply
    8,874x = 13,311.24 × 2,718
  4. Step 4: Simplify right side
    8,874x = 36,179,950.32
  5. Step 5: Solve for x
    x = 36,179,950.32/8,874
  6. Step 6: Final answer
    x = 4,077.07

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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.