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Finding the Fourth Proportional to 11,846.22, 16,353.66 and 7,371.42

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Solution

The fourth proportional to 11,846.22, 16,353.66 and 7,371.42 is: 10,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.22 : 16,353.66 = 7,371.42 : x
  2. Step 2: Convert to fraction form
    11,846.22/16,353.66 = 7,371.42/x
  3. Step 3: Cross multiply
    11,846.22x = 16,353.66 × 7,371.42
  4. Step 4: Simplify right side
    11,846.22x = 120,549,696.40
  5. Step 5: Solve for x
    x = 120,549,696.40/11,846.22
  6. Step 6: Final answer
    x = 10,176.22

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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.