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Finding the Fourth Proportional to 10,285.67, 15,428.50 and 2,494.48

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Solution

The fourth proportional to 10,285.67, 15,428.50 and 2,494.48 is: 3,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.67 : 15,428.50 = 2,494.48 : x
  2. Step 2: Convert to fraction form
    10,285.67/15,428.50 = 2,494.48/x
  3. Step 3: Cross multiply
    10,285.67x = 15,428.50 × 2,494.48
  4. Step 4: Simplify right side
    10,285.67x = 38,486,084.68
  5. Step 5: Solve for x
    x = 38,486,084.68/10,285.67
  6. Step 6: Final answer
    x = 3,741.72

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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.