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Finding the Fourth Proportional to 8,107.85, 12,180.07 and 5,339.93

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Solution

The fourth proportional to 8,107.85, 12,180.07 and 5,339.93 is: 8,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.85 : 12,180.07 = 5,339.93 : x
  2. Step 2: Convert to fraction form
    8,107.85/12,180.07 = 5,339.93/x
  3. Step 3: Cross multiply
    8,107.85x = 12,180.07 × 5,339.93
  4. Step 4: Simplify right side
    8,107.85x = 65,040,666.97
  5. Step 5: Solve for x
    x = 65,040,666.97/8,107.85
  6. Step 6: Final answer
    x = 8,021.94

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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.