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Finding the Fourth Proportional to 8,165.30, 11,242.67 and 6,836.09

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Solution

The fourth proportional to 8,165.30, 11,242.67 and 6,836.09 is: 9,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.30 : 11,242.67 = 6,836.09 : x
  2. Step 2: Convert to fraction form
    8,165.30/11,242.67 = 6,836.09/x
  3. Step 3: Cross multiply
    8,165.30x = 11,242.67 × 6,836.09
  4. Step 4: Simplify right side
    8,165.30x = 76,855,813.57
  5. Step 5: Solve for x
    x = 76,855,813.57/8,165.30
  6. Step 6: Final answer
    x = 9,412.50

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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.