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Finding the Fourth Proportional to 8,270.63, 12,398.97 and 3,587.11

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Solution

The fourth proportional to 8,270.63, 12,398.97 and 3,587.11 is: 5,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.63 : 12,398.97 = 3,587.11 : x
  2. Step 2: Convert to fraction form
    8,270.63/12,398.97 = 3,587.11/x
  3. Step 3: Cross multiply
    8,270.63x = 12,398.97 × 3,587.11
  4. Step 4: Simplify right side
    8,270.63x = 44,476,503.64
  5. Step 5: Solve for x
    x = 44,476,503.64/8,270.63
  6. Step 6: Final answer
    x = 5,377.64

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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.