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Finding the Fourth Proportional to 8,771.85, 13,160.07 and 3,842.46

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Solution

The fourth proportional to 8,771.85, 13,160.07 and 3,842.46 is: 5,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.85 : 13,160.07 = 3,842.46 : x
  2. Step 2: Convert to fraction form
    8,771.85/13,160.07 = 3,842.46/x
  3. Step 3: Cross multiply
    8,771.85x = 13,160.07 × 3,842.46
  4. Step 4: Simplify right side
    8,771.85x = 50,567,042.57
  5. Step 5: Solve for x
    x = 50,567,042.57/8,771.85
  6. Step 6: Final answer
    x = 5,764.70

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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.