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Finding the Fourth Proportional to 6,196.98, 8,548.83 and 4,102.86

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Solution

The fourth proportional to 6,196.98, 8,548.83 and 4,102.86 is: 5,659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.98 : 8,548.83 = 4,102.86 : x
  2. Step 2: Convert to fraction form
    6,196.98/8,548.83 = 4,102.86/x
  3. Step 3: Cross multiply
    6,196.98x = 8,548.83 × 4,102.86
  4. Step 4: Simplify right side
    6,196.98x = 35,074,652.65
  5. Step 5: Solve for x
    x = 35,074,652.65/6,196.98
  6. Step 6: Final answer
    x = 5,659.96

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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.