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Finding the Fourth Proportional to 8,574.85, 12,862.25 and 2,731.44

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Solution

The fourth proportional to 8,574.85, 12,862.25 and 2,731.44 is: 4,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.85 : 12,862.25 = 2,731.44 : x
  2. Step 2: Convert to fraction form
    8,574.85/12,862.25 = 2,731.44/x
  3. Step 3: Cross multiply
    8,574.85x = 12,862.25 × 2,731.44
  4. Step 4: Simplify right side
    8,574.85x = 35,132,464.14
  5. Step 5: Solve for x
    x = 35,132,464.14/8,574.85
  6. Step 6: Final answer
    x = 4,097.15

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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.