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Finding the Fourth Proportional to 12,410.40, 17,107.92 and 8,211.36

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Solution

The fourth proportional to 12,410.40, 17,107.92 and 8,211.36 is: 11,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.40 : 17,107.92 = 8,211.36 : x
  2. Step 2: Convert to fraction form
    12,410.40/17,107.92 = 8,211.36/x
  3. Step 3: Cross multiply
    12,410.40x = 17,107.92 × 8,211.36
  4. Step 4: Simplify right side
    12,410.40x = 140,479,289.97
  5. Step 5: Solve for x
    x = 140,479,289.97/12,410.40
  6. Step 6: Final answer
    x = 11,319.48

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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.