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Finding the Fourth Proportional to 10,203.92, 15,306.12 and 3,278.48

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Solution

The fourth proportional to 10,203.92, 15,306.12 and 3,278.48 is: 4,917.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.92 : 15,306.12 = 3,278.48 : x
  2. Step 2: Convert to fraction form
    10,203.92/15,306.12 = 3,278.48/x
  3. Step 3: Cross multiply
    10,203.92x = 15,306.12 × 3,278.48
  4. Step 4: Simplify right side
    10,203.92x = 50,180,808.30
  5. Step 5: Solve for x
    x = 50,180,808.30/10,203.92
  6. Step 6: Final answer
    x = 4,917.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.