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Finding the Fourth Proportional to 6,842.84, 10,255.41 and 3,091.86

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Solution

The fourth proportional to 6,842.84, 10,255.41 and 3,091.86 is: 4,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.84 : 10,255.41 = 3,091.86 : x
  2. Step 2: Convert to fraction form
    6,842.84/10,255.41 = 3,091.86/x
  3. Step 3: Cross multiply
    6,842.84x = 10,255.41 × 3,091.86
  4. Step 4: Simplify right side
    6,842.84x = 31,708,291.96
  5. Step 5: Solve for x
    x = 31,708,291.96/6,842.84
  6. Step 6: Final answer
    x = 4,633.79

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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.