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Finding the Fourth Proportional to 10,474.67, 15,708.96 and 3,077.75

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Solution

The fourth proportional to 10,474.67, 15,708.96 and 3,077.75 is: 4,615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.67 : 15,708.96 = 3,077.75 : x
  2. Step 2: Convert to fraction form
    10,474.67/15,708.96 = 3,077.75/x
  3. Step 3: Cross multiply
    10,474.67x = 15,708.96 × 3,077.75
  4. Step 4: Simplify right side
    10,474.67x = 48,348,251.64
  5. Step 5: Solve for x
    x = 48,348,251.64/10,474.67
  6. Step 6: Final answer
    x = 4,615.73

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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.