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Finding the Fourth Proportional to 11,074.96, 16,614.74 and 5,228.38

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Solution

The fourth proportional to 11,074.96, 16,614.74 and 5,228.38 is: 7,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074.96 : 16,614.74 = 5,228.38 : x
  2. Step 2: Convert to fraction form
    11,074.96/16,614.74 = 5,228.38/x
  3. Step 3: Cross multiply
    11,074.96x = 16,614.74 × 5,228.38
  4. Step 4: Simplify right side
    11,074.96x = 86,868,174.32
  5. Step 5: Solve for x
    x = 86,868,174.32/11,074.96
  6. Step 6: Final answer
    x = 7,843.66

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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.