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Finding the Fourth Proportional to 8,767.60, 13,122.60 and 6,809.20

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Solution

The fourth proportional to 8,767.60, 13,122.60 and 6,809.20 is: 10,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.60 : 13,122.60 = 6,809.20 : x
  2. Step 2: Convert to fraction form
    8,767.60/13,122.60 = 6,809.20/x
  3. Step 3: Cross multiply
    8,767.60x = 13,122.60 × 6,809.20
  4. Step 4: Simplify right side
    8,767.60x = 89,354,407.92
  5. Step 5: Solve for x
    x = 89,354,407.92/8,767.60
  6. Step 6: Final answer
    x = 10,191.43

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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.