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Finding the Fourth Proportional to 8,255.34, 11,394.48 and 5,109.68

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Solution

The fourth proportional to 8,255.34, 11,394.48 and 5,109.68 is: 7,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.34 : 11,394.48 = 5,109.68 : x
  2. Step 2: Convert to fraction form
    8,255.34/11,394.48 = 5,109.68/x
  3. Step 3: Cross multiply
    8,255.34x = 11,394.48 × 5,109.68
  4. Step 4: Simplify right side
    8,255.34x = 58,222,146.57
  5. Step 5: Solve for x
    x = 58,222,146.57/8,255.34
  6. Step 6: Final answer
    x = 7,052.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.