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Finding the Fourth Proportional to 7,921, 11,881.41 and 7,439.86

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Solution

The fourth proportional to 7,921, 11,881.41 and 7,439.86 is: 11,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921 : 11,881.41 = 7,439.86 : x
  2. Step 2: Convert to fraction form
    7,921/11,881.41 = 7,439.86/x
  3. Step 3: Cross multiply
    7,921x = 11,881.41 × 7,439.86
  4. Step 4: Simplify right side
    7,921x = 88,396,027.00
  5. Step 5: Solve for x
    x = 88,396,027.00/7,921
  6. Step 6: Final answer
    x = 11,159.71

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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.