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Finding the Fourth Proportional to 11,540.70, 17,311.05 and 8,246.70

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Solution

The fourth proportional to 11,540.70, 17,311.05 and 8,246.70 is: 12,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.70 : 17,311.05 = 8,246.70 : x
  2. Step 2: Convert to fraction form
    11,540.70/17,311.05 = 8,246.70/x
  3. Step 3: Cross multiply
    11,540.70x = 17,311.05 × 8,246.70
  4. Step 4: Simplify right side
    11,540.70x = 142,759,036.04
  5. Step 5: Solve for x
    x = 142,759,036.04/11,540.70
  6. Step 6: Final answer
    x = 12,370.05

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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.