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Finding the Fourth Proportional to 8,066.90, 12,097.46 and 2,871.74

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Solution

The fourth proportional to 8,066.90, 12,097.46 and 2,871.74 is: 4,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.90 : 12,097.46 = 2,871.74 : x
  2. Step 2: Convert to fraction form
    8,066.90/12,097.46 = 2,871.74/x
  3. Step 3: Cross multiply
    8,066.90x = 12,097.46 × 2,871.74
  4. Step 4: Simplify right side
    8,066.90x = 34,740,759.78
  5. Step 5: Solve for x
    x = 34,740,759.78/8,066.90
  6. Step 6: Final answer
    x = 4,306.58

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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.