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Finding the Fourth Proportional to 8,106.75, 12,144.39 and 5,324.98

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Solution

The fourth proportional to 8,106.75, 12,144.39 and 5,324.98 is: 7,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.75 : 12,144.39 = 5,324.98 : x
  2. Step 2: Convert to fraction form
    8,106.75/12,144.39 = 5,324.98/x
  3. Step 3: Cross multiply
    8,106.75x = 12,144.39 × 5,324.98
  4. Step 4: Simplify right side
    8,106.75x = 64,668,649.04
  5. Step 5: Solve for x
    x = 64,668,649.04/8,106.75
  6. Step 6: Final answer
    x = 7,977.14

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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.