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Finding the Fourth Proportional to 8,077.70, 12,122.04 and 2,883.57

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Solution

The fourth proportional to 8,077.70, 12,122.04 and 2,883.57 is: 4,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.70 : 12,122.04 = 2,883.57 : x
  2. Step 2: Convert to fraction form
    8,077.70/12,122.04 = 2,883.57/x
  3. Step 3: Cross multiply
    8,077.70x = 12,122.04 × 2,883.57
  4. Step 4: Simplify right side
    8,077.70x = 34,954,750.88
  5. Step 5: Solve for x
    x = 34,954,750.88/8,077.70
  6. Step 6: Final answer
    x = 4,327.32

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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.