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Finding the Fourth Proportional to 8,514.81, 11,750.33 and 4,788.81

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Solution

The fourth proportional to 8,514.81, 11,750.33 and 4,788.81 is: 6,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.81 : 11,750.33 = 4,788.81 : x
  2. Step 2: Convert to fraction form
    8,514.81/11,750.33 = 4,788.81/x
  3. Step 3: Cross multiply
    8,514.81x = 11,750.33 × 4,788.81
  4. Step 4: Simplify right side
    8,514.81x = 56,270,073.86
  5. Step 5: Solve for x
    x = 56,270,073.86/8,514.81
  6. Step 6: Final answer
    x = 6,608.49

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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.