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Finding the Fourth Proportional to 8,131.96, 12,202.96 and 3,200.76

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Solution

The fourth proportional to 8,131.96, 12,202.96 and 3,200.76 is: 4,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.96 : 12,202.96 = 3,200.76 : x
  2. Step 2: Convert to fraction form
    8,131.96/12,202.96 = 3,200.76/x
  3. Step 3: Cross multiply
    8,131.96x = 12,202.96 × 3,200.76
  4. Step 4: Simplify right side
    8,131.96x = 39,058,746.25
  5. Step 5: Solve for x
    x = 39,058,746.25/8,131.96
  6. Step 6: Final answer
    x = 4,803.12

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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.