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Finding the Fourth Proportional to 11,284.78, 16,931.22 and 5,044.27

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Solution

The fourth proportional to 11,284.78, 16,931.22 and 5,044.27 is: 7,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.78 : 16,931.22 = 5,044.27 : x
  2. Step 2: Convert to fraction form
    11,284.78/16,931.22 = 5,044.27/x
  3. Step 3: Cross multiply
    11,284.78x = 16,931.22 × 5,044.27
  4. Step 4: Simplify right side
    11,284.78x = 85,405,645.11
  5. Step 5: Solve for x
    x = 85,405,645.11/11,284.78
  6. Step 6: Final answer
    x = 7,568.22

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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.