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Finding the Fourth Proportional to 8,111.75, 12,086.98 and 7,227.45

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Solution

The fourth proportional to 8,111.75, 12,086.98 and 7,227.45 is: 10,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.75 : 12,086.98 = 7,227.45 : x
  2. Step 2: Convert to fraction form
    8,111.75/12,086.98 = 7,227.45/x
  3. Step 3: Cross multiply
    8,111.75x = 12,086.98 × 7,227.45
  4. Step 4: Simplify right side
    8,111.75x = 87,358,043.60
  5. Step 5: Solve for x
    x = 87,358,043.60/8,111.75
  6. Step 6: Final answer
    x = 10,769.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.