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Finding the Fourth Proportional to 10,305.68, 15,452.33 and 3,282.66

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Solution

The fourth proportional to 10,305.68, 15,452.33 and 3,282.66 is: 4,922.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.68 : 15,452.33 = 3,282.66 : x
  2. Step 2: Convert to fraction form
    10,305.68/15,452.33 = 3,282.66/x
  3. Step 3: Cross multiply
    10,305.68x = 15,452.33 × 3,282.66
  4. Step 4: Simplify right side
    10,305.68x = 50,724,729.18
  5. Step 5: Solve for x
    x = 50,724,729.18/10,305.68
  6. Step 6: Final answer
    x = 4,922.02

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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.