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Finding the Fourth Proportional to 6,842.74, 10,265.32 and 3,555.56

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Solution

The fourth proportional to 6,842.74, 10,265.32 and 3,555.56 is: 5,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.74 : 10,265.32 = 3,555.56 : x
  2. Step 2: Convert to fraction form
    6,842.74/10,265.32 = 3,555.56/x
  3. Step 3: Cross multiply
    6,842.74x = 10,265.32 × 3,555.56
  4. Step 4: Simplify right side
    6,842.74x = 36,498,961.18
  5. Step 5: Solve for x
    x = 36,498,961.18/6,842.74
  6. Step 6: Final answer
    x = 5,333.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.