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Finding the Fourth Proportional to 8,212.74, 11,329.62 and 5,378.86

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Solution

The fourth proportional to 8,212.74, 11,329.62 and 5,378.86 is: 7,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.74 : 11,329.62 = 5,378.86 : x
  2. Step 2: Convert to fraction form
    8,212.74/11,329.62 = 5,378.86/x
  3. Step 3: Cross multiply
    8,212.74x = 11,329.62 × 5,378.86
  4. Step 4: Simplify right side
    8,212.74x = 60,940,400.35
  5. Step 5: Solve for x
    x = 60,940,400.35/8,212.74
  6. Step 6: Final answer
    x = 7,420.23

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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.