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Finding the Fourth Proportional to 8,145.24, 11,233 and 6,888.92

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Solution

The fourth proportional to 8,145.24, 11,233 and 6,888.92 is: 9,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.24 : 11,233 = 6,888.92 : x
  2. Step 2: Convert to fraction form
    8,145.24/11,233 = 6,888.92/x
  3. Step 3: Cross multiply
    8,145.24x = 11,233 × 6,888.92
  4. Step 4: Simplify right side
    8,145.24x = 77,383,238.36
  5. Step 5: Solve for x
    x = 77,383,238.36/8,145.24
  6. Step 6: Final answer
    x = 9,500.42

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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.