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Finding the Fourth Proportional to 11,188.06, 16,787.55 and 7,922.14

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Solution

The fourth proportional to 11,188.06, 16,787.55 and 7,922.14 is: 11,887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.06 : 16,787.55 = 7,922.14 : x
  2. Step 2: Convert to fraction form
    11,188.06/16,787.55 = 7,922.14/x
  3. Step 3: Cross multiply
    11,188.06x = 16,787.55 × 7,922.14
  4. Step 4: Simplify right side
    11,188.06x = 132,993,321.36
  5. Step 5: Solve for x
    x = 132,993,321.36/11,188.06
  6. Step 6: Final answer
    x = 11,887.08

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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.