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Finding the Fourth Proportional to 8,105.00, 11,177.62 and 6,914.28

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Solution

The fourth proportional to 8,105.00, 11,177.62 and 6,914.28 is: 9,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.00 : 11,177.62 = 6,914.28 : x
  2. Step 2: Convert to fraction form
    8,105.00/11,177.62 = 6,914.28/x
  3. Step 3: Cross multiply
    8,105.00x = 11,177.62 × 6,914.28
  4. Step 4: Simplify right side
    8,105.00x = 77,285,199.19
  5. Step 5: Solve for x
    x = 77,285,199.19/8,105.00
  6. Step 6: Final answer
    x = 9,535.50

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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.