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Finding the Fourth Proportional to 8,212.99, 11,327.86 and 5,661.57

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Solution

The fourth proportional to 8,212.99, 11,327.86 and 5,661.57 is: 7,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.99 : 11,327.86 = 5,661.57 : x
  2. Step 2: Convert to fraction form
    8,212.99/11,327.86 = 5,661.57/x
  3. Step 3: Cross multiply
    8,212.99x = 11,327.86 × 5,661.57
  4. Step 4: Simplify right side
    8,212.99x = 64,133,472.34
  5. Step 5: Solve for x
    x = 64,133,472.34/8,212.99
  6. Step 6: Final answer
    x = 7,808.78

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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.