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Finding the Fourth Proportional to 8,077.95, 12,116.88 and 2,234.55

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Solution

The fourth proportional to 8,077.95, 12,116.88 and 2,234.55 is: 3,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.95 : 12,116.88 = 2,234.55 : x
  2. Step 2: Convert to fraction form
    8,077.95/12,116.88 = 2,234.55/x
  3. Step 3: Cross multiply
    8,077.95x = 12,116.88 × 2,234.55
  4. Step 4: Simplify right side
    8,077.95x = 27,075,774.20
  5. Step 5: Solve for x
    x = 27,075,774.20/8,077.95
  6. Step 6: Final answer
    x = 3,351.81

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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.