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Finding the Fourth Proportional to 11,206.98, 15,466 and 6,171.72

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Solution

The fourth proportional to 11,206.98, 15,466 and 6,171.72 is: 8,517.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.98 : 15,466 = 6,171.72 : x
  2. Step 2: Convert to fraction form
    11,206.98/15,466 = 6,171.72/x
  3. Step 3: Cross multiply
    11,206.98x = 15,466 × 6,171.72
  4. Step 4: Simplify right side
    11,206.98x = 95,451,821.52
  5. Step 5: Solve for x
    x = 95,451,821.52/11,206.98
  6. Step 6: Final answer
    x = 8,517.18

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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.