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Finding the Fourth Proportional to 8,652.12, 12,960.71 and 8,203.78

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Solution

The fourth proportional to 8,652.12, 12,960.71 and 8,203.78 is: 12,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.12 : 12,960.71 = 8,203.78 : x
  2. Step 2: Convert to fraction form
    8,652.12/12,960.71 = 8,203.78/x
  3. Step 3: Cross multiply
    8,652.12x = 12,960.71 × 8,203.78
  4. Step 4: Simplify right side
    8,652.12x = 106,326,819.43
  5. Step 5: Solve for x
    x = 106,326,819.43/8,652.12
  6. Step 6: Final answer
    x = 12,289.11

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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.