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Finding the Fourth Proportional to 8,207.40, 12,311.10 and 5,993.40

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Solution

The fourth proportional to 8,207.40, 12,311.10 and 5,993.40 is: 8,990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.40 : 12,311.10 = 5,993.40 : x
  2. Step 2: Convert to fraction form
    8,207.40/12,311.10 = 5,993.40/x
  3. Step 3: Cross multiply
    8,207.40x = 12,311.10 × 5,993.40
  4. Step 4: Simplify right side
    8,207.40x = 73,785,346.74
  5. Step 5: Solve for x
    x = 73,785,346.74/8,207.40
  6. Step 6: Final answer
    x = 8,990.10

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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.