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Finding the Fourth Proportional to 8,221.40, 11,349.78 and 5,707.88

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Solution

The fourth proportional to 8,221.40, 11,349.78 and 5,707.88 is: 7,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.40 : 11,349.78 = 5,707.88 : x
  2. Step 2: Convert to fraction form
    8,221.40/11,349.78 = 5,707.88/x
  3. Step 3: Cross multiply
    8,221.40x = 11,349.78 × 5,707.88
  4. Step 4: Simplify right side
    8,221.40x = 64,783,182.27
  5. Step 5: Solve for x
    x = 64,783,182.27/8,221.40
  6. Step 6: Final answer
    x = 7,879.82

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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.