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Finding the Fourth Proportional to 11,084.28, 16,608.72 and 7,758.84

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Solution

The fourth proportional to 11,084.28, 16,608.72 and 7,758.84 is: 11,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,084.28 : 16,608.72 = 7,758.84 : x
  2. Step 2: Convert to fraction form
    11,084.28/16,608.72 = 7,758.84/x
  3. Step 3: Cross multiply
    11,084.28x = 16,608.72 × 7,758.84
  4. Step 4: Simplify right side
    11,084.28x = 128,864,401.08
  5. Step 5: Solve for x
    x = 128,864,401.08/11,084.28
  6. Step 6: Final answer
    x = 11,625.87

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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.