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Finding the Fourth Proportional to 8,563.52, 12,841.92 and 3,015.68

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Solution

The fourth proportional to 8,563.52, 12,841.92 and 3,015.68 is: 4,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.52 : 12,841.92 = 3,015.68 : x
  2. Step 2: Convert to fraction form
    8,563.52/12,841.92 = 3,015.68/x
  3. Step 3: Cross multiply
    8,563.52x = 12,841.92 × 3,015.68
  4. Step 4: Simplify right side
    8,563.52x = 38,727,121.31
  5. Step 5: Solve for x
    x = 38,727,121.31/8,563.52
  6. Step 6: Final answer
    x = 4,522.34

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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.