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Finding the Fourth Proportional to 11,778.34, 16,251.24 and 6,673.99

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Solution

The fourth proportional to 11,778.34, 16,251.24 and 6,673.99 is: 9,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.34 : 16,251.24 = 6,673.99 : x
  2. Step 2: Convert to fraction form
    11,778.34/16,251.24 = 6,673.99/x
  3. Step 3: Cross multiply
    11,778.34x = 16,251.24 × 6,673.99
  4. Step 4: Simplify right side
    11,778.34x = 108,460,613.25
  5. Step 5: Solve for x
    x = 108,460,613.25/11,778.34
  6. Step 6: Final answer
    x = 9,208.48

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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.