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Finding the Fourth Proportional to 10,431.72, 15,650.22 and 3,036

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Solution

The fourth proportional to 10,431.72, 15,650.22 and 3,036 is: 4,554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.72 : 15,650.22 = 3,036 : x
  2. Step 2: Convert to fraction form
    10,431.72/15,650.22 = 3,036/x
  3. Step 3: Cross multiply
    10,431.72x = 15,650.22 × 3,036
  4. Step 4: Simplify right side
    10,431.72x = 47,514,067.92
  5. Step 5: Solve for x
    x = 47,514,067.92/10,431.72
  6. Step 6: Final answer
    x = 4,554.77

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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.