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Finding the Fourth Proportional to 8,201.78, 12,302.85 and 2,937.14

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Solution

The fourth proportional to 8,201.78, 12,302.85 and 2,937.14 is: 4,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.78 : 12,302.85 = 2,937.14 : x
  2. Step 2: Convert to fraction form
    8,201.78/12,302.85 = 2,937.14/x
  3. Step 3: Cross multiply
    8,201.78x = 12,302.85 × 2,937.14
  4. Step 4: Simplify right side
    8,201.78x = 36,135,178.16
  5. Step 5: Solve for x
    x = 36,135,178.16/8,201.78
  6. Step 6: Final answer
    x = 4,405.78

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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.