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Finding the Fourth Proportional to 8,757.86, 13,140.88 and 3,828.89

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Solution

The fourth proportional to 8,757.86, 13,140.88 and 3,828.89 is: 5,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757.86 : 13,140.88 = 3,828.89 : x
  2. Step 2: Convert to fraction form
    8,757.86/13,140.88 = 3,828.89/x
  3. Step 3: Cross multiply
    8,757.86x = 13,140.88 × 3,828.89
  4. Step 4: Simplify right side
    8,757.86x = 50,315,007.30
  5. Step 5: Solve for x
    x = 50,315,007.30/8,757.86
  6. Step 6: Final answer
    x = 5,745.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.