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Finding the Fourth Proportional to 8,221.35, 11,335.56 and 5,705.64

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Solution

The fourth proportional to 8,221.35, 11,335.56 and 5,705.64 is: 7,866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.35 : 11,335.56 = 5,705.64 : x
  2. Step 2: Convert to fraction form
    8,221.35/11,335.56 = 5,705.64/x
  3. Step 3: Cross multiply
    8,221.35x = 11,335.56 × 5,705.64
  4. Step 4: Simplify right side
    8,221.35x = 64,676,624.56
  5. Step 5: Solve for x
    x = 64,676,624.56/8,221.35
  6. Step 6: Final answer
    x = 7,866.91

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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.