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Finding the Fourth Proportional to 10,612.92, 15,918.30 and 2,822.52

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Solution

The fourth proportional to 10,612.92, 15,918.30 and 2,822.52 is: 4,233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.92 : 15,918.30 = 2,822.52 : x
  2. Step 2: Convert to fraction form
    10,612.92/15,918.30 = 2,822.52/x
  3. Step 3: Cross multiply
    10,612.92x = 15,918.30 × 2,822.52
  4. Step 4: Simplify right side
    10,612.92x = 44,929,720.12
  5. Step 5: Solve for x
    x = 44,929,720.12/10,612.92
  6. Step 6: Final answer
    x = 4,233.49

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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.