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Finding the Fourth Proportional to 11,906.52, 16,410.78 and 9,382.20

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Solution

The fourth proportional to 11,906.52, 16,410.78 and 9,382.20 is: 12,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.52 : 16,410.78 = 9,382.20 : x
  2. Step 2: Convert to fraction form
    11,906.52/16,410.78 = 9,382.20/x
  3. Step 3: Cross multiply
    11,906.52x = 16,410.78 × 9,382.20
  4. Step 4: Simplify right side
    11,906.52x = 153,969,220.12
  5. Step 5: Solve for x
    x = 153,969,220.12/11,906.52
  6. Step 6: Final answer
    x = 12,931.50

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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.