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Finding the Fourth Proportional to 8,147.28, 12,214.08 and 5,674.80

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Solution

The fourth proportional to 8,147.28, 12,214.08 and 5,674.80 is: 8,507.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.28 : 12,214.08 = 5,674.80 : x
  2. Step 2: Convert to fraction form
    8,147.28/12,214.08 = 5,674.80/x
  3. Step 3: Cross multiply
    8,147.28x = 12,214.08 × 5,674.80
  4. Step 4: Simplify right side
    8,147.28x = 69,312,461.18
  5. Step 5: Solve for x
    x = 69,312,461.18/8,147.28
  6. Step 6: Final answer
    x = 8,507.44

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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.