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Finding the Fourth Proportional to 8,197.47, 12,296.09 and 2,354.08

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Solution

The fourth proportional to 8,197.47, 12,296.09 and 2,354.08 is: 3,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.47 : 12,296.09 = 2,354.08 : x
  2. Step 2: Convert to fraction form
    8,197.47/12,296.09 = 2,354.08/x
  3. Step 3: Cross multiply
    8,197.47x = 12,296.09 × 2,354.08
  4. Step 4: Simplify right side
    8,197.47x = 28,945,954.69
  5. Step 5: Solve for x
    x = 28,945,954.69/8,197.47
  6. Step 6: Final answer
    x = 3,531.08

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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.