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Finding the Fourth Proportional to 8,131.29, 12,197.03 and 2,208.47

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Solution

The fourth proportional to 8,131.29, 12,197.03 and 2,208.47 is: 3,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.29 : 12,197.03 = 2,208.47 : x
  2. Step 2: Convert to fraction form
    8,131.29/12,197.03 = 2,208.47/x
  3. Step 3: Cross multiply
    8,131.29x = 12,197.03 × 2,208.47
  4. Step 4: Simplify right side
    8,131.29x = 26,936,715.24
  5. Step 5: Solve for x
    x = 26,936,715.24/8,131.29
  6. Step 6: Final answer
    x = 3,312.72

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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.