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Finding the Fourth Proportional to 8,029.66, 11,091.52 and 6,164.29

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Solution

The fourth proportional to 8,029.66, 11,091.52 and 6,164.29 is: 8,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.66 : 11,091.52 = 6,164.29 : x
  2. Step 2: Convert to fraction form
    8,029.66/11,091.52 = 6,164.29/x
  3. Step 3: Cross multiply
    8,029.66x = 11,091.52 × 6,164.29
  4. Step 4: Simplify right side
    8,029.66x = 68,371,315.00
  5. Step 5: Solve for x
    x = 68,371,315.00/8,029.66
  6. Step 6: Final answer
    x = 8,514.85

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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.