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Finding the Fourth Proportional to 10,971.36, 16,447.32 and 4,044.24

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Solution

The fourth proportional to 10,971.36, 16,447.32 and 4,044.24 is: 6,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.36 : 16,447.32 = 4,044.24 : x
  2. Step 2: Convert to fraction form
    10,971.36/16,447.32 = 4,044.24/x
  3. Step 3: Cross multiply
    10,971.36x = 16,447.32 × 4,044.24
  4. Step 4: Simplify right side
    10,971.36x = 66,516,909.44
  5. Step 5: Solve for x
    x = 66,516,909.44/10,971.36
  6. Step 6: Final answer
    x = 6,062.78

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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.