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Finding the Fourth Proportional to 8,110.07, 11,191.82 and 4,384.07

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Solution

The fourth proportional to 8,110.07, 11,191.82 and 4,384.07 is: 6,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.07 : 11,191.82 = 4,384.07 : x
  2. Step 2: Convert to fraction form
    8,110.07/11,191.82 = 4,384.07/x
  3. Step 3: Cross multiply
    8,110.07x = 11,191.82 × 4,384.07
  4. Step 4: Simplify right side
    8,110.07x = 49,065,644.43
  5. Step 5: Solve for x
    x = 49,065,644.43/8,110.07
  6. Step 6: Final answer
    x = 6,049.97

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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.