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Finding the Fourth Proportional to 8,102.67, 11,175.65 and 7,195.29

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Solution

The fourth proportional to 8,102.67, 11,175.65 and 7,195.29 is: 9,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.67 : 11,175.65 = 7,195.29 : x
  2. Step 2: Convert to fraction form
    8,102.67/11,175.65 = 7,195.29/x
  3. Step 3: Cross multiply
    8,102.67x = 11,175.65 × 7,195.29
  4. Step 4: Simplify right side
    8,102.67x = 80,412,006.71
  5. Step 5: Solve for x
    x = 80,412,006.71/8,102.67
  6. Step 6: Final answer
    x = 9,924.14

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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.