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Finding the Fourth Proportional to 11,616.26, 17,410.10 and 5,367.83

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Solution

The fourth proportional to 11,616.26, 17,410.10 and 5,367.83 is: 8,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.26 : 17,410.10 = 5,367.83 : x
  2. Step 2: Convert to fraction form
    11,616.26/17,410.10 = 5,367.83/x
  3. Step 3: Cross multiply
    11,616.26x = 17,410.10 × 5,367.83
  4. Step 4: Simplify right side
    11,616.26x = 93,454,343.19
  5. Step 5: Solve for x
    x = 93,454,343.19/11,616.26
  6. Step 6: Final answer
    x = 8,045.14

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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.