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Finding the Fourth Proportional to 11,321.38, 16,982 and 6,160.06

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Solution

The fourth proportional to 11,321.38, 16,982 and 6,160.06 is: 9,240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.38 : 16,982 = 6,160.06 : x
  2. Step 2: Convert to fraction form
    11,321.38/16,982 = 6,160.06/x
  3. Step 3: Cross multiply
    11,321.38x = 16,982 × 6,160.06
  4. Step 4: Simplify right side
    11,321.38x = 104,610,138.92
  5. Step 5: Solve for x
    x = 104,610,138.92/11,321.38
  6. Step 6: Final answer
    x = 9,240.05

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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.