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Finding the Fourth Proportional to 8,198.40, 11,298.78 and 5,956.35

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Solution

The fourth proportional to 8,198.40, 11,298.78 and 5,956.35 is: 8,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.40 : 11,298.78 = 5,956.35 : x
  2. Step 2: Convert to fraction form
    8,198.40/11,298.78 = 5,956.35/x
  3. Step 3: Cross multiply
    8,198.40x = 11,298.78 × 5,956.35
  4. Step 4: Simplify right side
    8,198.40x = 67,299,488.25
  5. Step 5: Solve for x
    x = 67,299,488.25/8,198.40
  6. Step 6: Final answer
    x = 8,208.86

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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.