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Finding the Fourth Proportional to 8,344.27, 11,514.92 and 4,758.99

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Solution

The fourth proportional to 8,344.27, 11,514.92 and 4,758.99 is: 6,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.27 : 11,514.92 = 4,758.99 : x
  2. Step 2: Convert to fraction form
    8,344.27/11,514.92 = 4,758.99/x
  3. Step 3: Cross multiply
    8,344.27x = 11,514.92 × 4,758.99
  4. Step 4: Simplify right side
    8,344.27x = 54,799,389.13
  5. Step 5: Solve for x
    x = 54,799,389.13/8,344.27
  6. Step 6: Final answer
    x = 6,567.31

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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.