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Finding the Fourth Proportional to 10,205.04, 15,306.48 and 3,279

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Solution

The fourth proportional to 10,205.04, 15,306.48 and 3,279 is: 4,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.04 : 15,306.48 = 3,279 : x
  2. Step 2: Convert to fraction form
    10,205.04/15,306.48 = 3,279/x
  3. Step 3: Cross multiply
    10,205.04x = 15,306.48 × 3,279
  4. Step 4: Simplify right side
    10,205.04x = 50,189,947.92
  5. Step 5: Solve for x
    x = 50,189,947.92/10,205.04
  6. Step 6: Final answer
    x = 4,918.15

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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.