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Finding the Fourth Proportional to 8,149.12, 11,247.60 and 5,008

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Solution

The fourth proportional to 8,149.12, 11,247.60 and 5,008 is: 6,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.12 : 11,247.60 = 5,008 : x
  2. Step 2: Convert to fraction form
    8,149.12/11,247.60 = 5,008/x
  3. Step 3: Cross multiply
    8,149.12x = 11,247.60 × 5,008
  4. Step 4: Simplify right side
    8,149.12x = 56,327,980.80
  5. Step 5: Solve for x
    x = 56,327,980.80/8,149.12
  6. Step 6: Final answer
    x = 6,912.16

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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.