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Finding the Fourth Proportional to 8,419.91, 12,631.23 and 3,741.53

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Solution

The fourth proportional to 8,419.91, 12,631.23 and 3,741.53 is: 5,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.91 : 12,631.23 = 3,741.53 : x
  2. Step 2: Convert to fraction form
    8,419.91/12,631.23 = 3,741.53/x
  3. Step 3: Cross multiply
    8,419.91x = 12,631.23 × 3,741.53
  4. Step 4: Simplify right side
    8,419.91x = 47,260,062.83
  5. Step 5: Solve for x
    x = 47,260,062.83/8,419.91
  6. Step 6: Final answer
    x = 5,612.90

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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.