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Finding the Fourth Proportional to 11,617.85, 17,439.06 and 7,238.39

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Solution

The fourth proportional to 11,617.85, 17,439.06 and 7,238.39 is: 10,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.85 : 17,439.06 = 7,238.39 : x
  2. Step 2: Convert to fraction form
    11,617.85/17,439.06 = 7,238.39/x
  3. Step 3: Cross multiply
    11,617.85x = 17,439.06 × 7,238.39
  4. Step 4: Simplify right side
    11,617.85x = 126,230,630.32
  5. Step 5: Solve for x
    x = 126,230,630.32/11,617.85
  6. Step 6: Final answer
    x = 10,865.24

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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.