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Finding the Fourth Proportional to 10,118.52, 15,180.32 and 2,822.52

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Solution

The fourth proportional to 10,118.52, 15,180.32 and 2,822.52 is: 4,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118.52 : 15,180.32 = 2,822.52 : x
  2. Step 2: Convert to fraction form
    10,118.52/15,180.32 = 2,822.52/x
  3. Step 3: Cross multiply
    10,118.52x = 15,180.32 × 2,822.52
  4. Step 4: Simplify right side
    10,118.52x = 42,846,756.81
  5. Step 5: Solve for x
    x = 42,846,756.81/10,118.52
  6. Step 6: Final answer
    x = 4,234.49

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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.