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Finding the Fourth Proportional to 11,816.82, 17,729.55 and 4,026.42

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Solution

The fourth proportional to 11,816.82, 17,729.55 and 4,026.42 is: 6,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.82 : 17,729.55 = 4,026.42 : x
  2. Step 2: Convert to fraction form
    11,816.82/17,729.55 = 4,026.42/x
  3. Step 3: Cross multiply
    11,816.82x = 17,729.55 × 4,026.42
  4. Step 4: Simplify right side
    11,816.82x = 71,386,614.71
  5. Step 5: Solve for x
    x = 71,386,614.71/11,816.82
  6. Step 6: Final answer
    x = 6,041.10

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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.