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Finding the Fourth Proportional to 11,616.27, 17,409.02 and 6,074.25

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Solution

The fourth proportional to 11,616.27, 17,409.02 and 6,074.25 is: 9,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.27 : 17,409.02 = 6,074.25 : x
  2. Step 2: Convert to fraction form
    11,616.27/17,409.02 = 6,074.25/x
  3. Step 3: Cross multiply
    11,616.27x = 17,409.02 × 6,074.25
  4. Step 4: Simplify right side
    11,616.27x = 105,746,709.36
  5. Step 5: Solve for x
    x = 105,746,709.36/11,616.27
  6. Step 6: Final answer
    x = 9,103.33

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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.