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Finding the Fourth Proportional to 8,419.31, 12,626.53 and 2,872.53

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Solution

The fourth proportional to 8,419.31, 12,626.53 and 2,872.53 is: 4,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.31 : 12,626.53 = 2,872.53 : x
  2. Step 2: Convert to fraction form
    8,419.31/12,626.53 = 2,872.53/x
  3. Step 3: Cross multiply
    8,419.31x = 12,626.53 × 2,872.53
  4. Step 4: Simplify right side
    8,419.31x = 36,270,071.86
  5. Step 5: Solve for x
    x = 36,270,071.86/8,419.31
  6. Step 6: Final answer
    x = 4,307.96

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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.