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Finding the Fourth Proportional to 8,171.90, 12,272.70 and 4,891.40

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Solution

The fourth proportional to 8,171.90, 12,272.70 and 4,891.40 is: 7,345.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.90 : 12,272.70 = 4,891.40 : x
  2. Step 2: Convert to fraction form
    8,171.90/12,272.70 = 4,891.40/x
  3. Step 3: Cross multiply
    8,171.90x = 12,272.70 × 4,891.40
  4. Step 4: Simplify right side
    8,171.90x = 60,030,684.78
  5. Step 5: Solve for x
    x = 60,030,684.78/8,171.90
  6. Step 6: Final answer
    x = 7,345.99

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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.