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Finding the Fourth Proportional to 8,514.27, 11,749 and 4,737.44

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Solution

The fourth proportional to 8,514.27, 11,749 and 4,737.44 is: 6,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.27 : 11,749 = 4,737.44 : x
  2. Step 2: Convert to fraction form
    8,514.27/11,749 = 4,737.44/x
  3. Step 3: Cross multiply
    8,514.27x = 11,749 × 4,737.44
  4. Step 4: Simplify right side
    8,514.27x = 55,660,182.56
  5. Step 5: Solve for x
    x = 55,660,182.56/8,514.27
  6. Step 6: Final answer
    x = 6,537.28

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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.