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Finding the Fourth Proportional to 11,673.66, 16,111.77 and 6,893.34

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Solution

The fourth proportional to 11,673.66, 16,111.77 and 6,893.34 is: 9,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.66 : 16,111.77 = 6,893.34 : x
  2. Step 2: Convert to fraction form
    11,673.66/16,111.77 = 6,893.34/x
  3. Step 3: Cross multiply
    11,673.66x = 16,111.77 × 6,893.34
  4. Step 4: Simplify right side
    11,673.66x = 111,063,908.61
  5. Step 5: Solve for x
    x = 111,063,908.61/11,673.66
  6. Step 6: Final answer
    x = 9,514.06

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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.