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Finding the Fourth Proportional to 11,851.71, 16,358.52 and 6,816.48

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Solution

The fourth proportional to 11,851.71, 16,358.52 and 6,816.48 is: 9,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.71 : 16,358.52 = 6,816.48 : x
  2. Step 2: Convert to fraction form
    11,851.71/16,358.52 = 6,816.48/x
  3. Step 3: Cross multiply
    11,851.71x = 16,358.52 × 6,816.48
  4. Step 4: Simplify right side
    11,851.71x = 111,507,524.41
  5. Step 5: Solve for x
    x = 111,507,524.41/11,851.71
  6. Step 6: Final answer
    x = 9,408.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.