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Finding the Fourth Proportional to 8,231.32, 11,351.64 and 7,283.62

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Solution

The fourth proportional to 8,231.32, 11,351.64 and 7,283.62 is: 10,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.32 : 11,351.64 = 7,283.62 : x
  2. Step 2: Convert to fraction form
    8,231.32/11,351.64 = 7,283.62/x
  3. Step 3: Cross multiply
    8,231.32x = 11,351.64 × 7,283.62
  4. Step 4: Simplify right side
    8,231.32x = 82,681,032.14
  5. Step 5: Solve for x
    x = 82,681,032.14/8,231.32
  6. Step 6: Final answer
    x = 10,044.69

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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.