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Finding the Fourth Proportional to 8,101.75, 12,143.98 and 4,200.79

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Solution

The fourth proportional to 8,101.75, 12,143.98 and 4,200.79 is: 6,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.75 : 12,143.98 = 4,200.79 : x
  2. Step 2: Convert to fraction form
    8,101.75/12,143.98 = 4,200.79/x
  3. Step 3: Cross multiply
    8,101.75x = 12,143.98 × 4,200.79
  4. Step 4: Simplify right side
    8,101.75x = 51,014,309.74
  5. Step 5: Solve for x
    x = 51,014,309.74/8,101.75
  6. Step 6: Final answer
    x = 6,296.70

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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.