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Finding the Fourth Proportional to 8,515.49, 12,771.14 and 2,968.02

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Solution

The fourth proportional to 8,515.49, 12,771.14 and 2,968.02 is: 4,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.49 : 12,771.14 = 2,968.02 : x
  2. Step 2: Convert to fraction form
    8,515.49/12,771.14 = 2,968.02/x
  3. Step 3: Cross multiply
    8,515.49x = 12,771.14 × 2,968.02
  4. Step 4: Simplify right side
    8,515.49x = 37,904,984.10
  5. Step 5: Solve for x
    x = 37,904,984.10/8,515.49
  6. Step 6: Final answer
    x = 4,451.30

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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.