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Finding the Fourth Proportional to 11,816.71, 17,728.52 and 3,496.93

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Solution

The fourth proportional to 11,816.71, 17,728.52 and 3,496.93 is: 5,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.71 : 17,728.52 = 3,496.93 : x
  2. Step 2: Convert to fraction form
    11,816.71/17,728.52 = 3,496.93/x
  3. Step 3: Cross multiply
    11,816.71x = 17,728.52 × 3,496.93
  4. Step 4: Simplify right side
    11,816.71x = 61,995,393.44
  5. Step 5: Solve for x
    x = 61,995,393.44/11,816.71
  6. Step 6: Final answer
    x = 5,246.42

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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.