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Finding the Fourth Proportional to 11,084.95, 16,618.07 and 5,158.78

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Solution

The fourth proportional to 11,084.95, 16,618.07 and 5,158.78 is: 7,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,084.95 : 16,618.07 = 5,158.78 : x
  2. Step 2: Convert to fraction form
    11,084.95/16,618.07 = 5,158.78/x
  3. Step 3: Cross multiply
    11,084.95x = 16,618.07 × 5,158.78
  4. Step 4: Simplify right side
    11,084.95x = 85,728,982.91
  5. Step 5: Solve for x
    x = 85,728,982.91/11,084.95
  6. Step 6: Final answer
    x = 7,733.82

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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.