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Finding the Fourth Proportional to 8,270.22, 12,404.02 and 2,425.47

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Solution

The fourth proportional to 8,270.22, 12,404.02 and 2,425.47 is: 3,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.22 : 12,404.02 = 2,425.47 : x
  2. Step 2: Convert to fraction form
    8,270.22/12,404.02 = 2,425.47/x
  3. Step 3: Cross multiply
    8,270.22x = 12,404.02 × 2,425.47
  4. Step 4: Simplify right side
    8,270.22x = 30,085,578.39
  5. Step 5: Solve for x
    x = 30,085,578.39/8,270.22
  6. Step 6: Final answer
    x = 3,637.82

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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.