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Finding the Fourth Proportional to 8,041.14, 12,062.25 and 2,494.53

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Solution

The fourth proportional to 8,041.14, 12,062.25 and 2,494.53 is: 3,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.14 : 12,062.25 = 2,494.53 : x
  2. Step 2: Convert to fraction form
    8,041.14/12,062.25 = 2,494.53/x
  3. Step 3: Cross multiply
    8,041.14x = 12,062.25 × 2,494.53
  4. Step 4: Simplify right side
    8,041.14x = 30,089,644.49
  5. Step 5: Solve for x
    x = 30,089,644.49/8,041.14
  6. Step 6: Final answer
    x = 3,741.96

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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.