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Finding the Fourth Proportional to 8,119.60, 11,212.62 and 5,976.34

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Solution

The fourth proportional to 8,119.60, 11,212.62 and 5,976.34 is: 8,252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.60 : 11,212.62 = 5,976.34 : x
  2. Step 2: Convert to fraction form
    8,119.60/11,212.62 = 5,976.34/x
  3. Step 3: Cross multiply
    8,119.60x = 11,212.62 × 5,976.34
  4. Step 4: Simplify right side
    8,119.60x = 67,010,429.41
  5. Step 5: Solve for x
    x = 67,010,429.41/8,119.60
  6. Step 6: Final answer
    x = 8,252.92

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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.