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Finding the Fourth Proportional to 8,514.39, 11,749.21 and 4,737.46

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Solution

The fourth proportional to 8,514.39, 11,749.21 and 4,737.46 is: 6,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.39 : 11,749.21 = 4,737.46 : x
  2. Step 2: Convert to fraction form
    8,514.39/11,749.21 = 4,737.46/x
  3. Step 3: Cross multiply
    8,514.39x = 11,749.21 × 4,737.46
  4. Step 4: Simplify right side
    8,514.39x = 55,661,412.41
  5. Step 5: Solve for x
    x = 55,661,412.41/8,514.39
  6. Step 6: Final answer
    x = 6,537.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.