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Finding the Fourth Proportional to 8,077.20, 12,115.80 and 7,126.80

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Solution

The fourth proportional to 8,077.20, 12,115.80 and 7,126.80 is: 10,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.20 : 12,115.80 = 7,126.80 : x
  2. Step 2: Convert to fraction form
    8,077.20/12,115.80 = 7,126.80/x
  3. Step 3: Cross multiply
    8,077.20x = 12,115.80 × 7,126.80
  4. Step 4: Simplify right side
    8,077.20x = 86,346,883.44
  5. Step 5: Solve for x
    x = 86,346,883.44/8,077.20
  6. Step 6: Final answer
    x = 10,690.20

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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.