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Finding the Fourth Proportional to 10,272.50, 15,408.70 and 3,253.20

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Solution

The fourth proportional to 10,272.50, 15,408.70 and 3,253.20 is: 4,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.50 : 15,408.70 = 3,253.20 : x
  2. Step 2: Convert to fraction form
    10,272.50/15,408.70 = 3,253.20/x
  3. Step 3: Cross multiply
    10,272.50x = 15,408.70 × 3,253.20
  4. Step 4: Simplify right side
    10,272.50x = 50,127,582.84
  5. Step 5: Solve for x
    x = 50,127,582.84/10,272.50
  6. Step 6: Final answer
    x = 4,879.78

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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.