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Finding the Fourth Proportional to 8,213.82, 11,339.67 and 5,424.18

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Solution

The fourth proportional to 8,213.82, 11,339.67 and 5,424.18 is: 7,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.82 : 11,339.67 = 5,424.18 : x
  2. Step 2: Convert to fraction form
    8,213.82/11,339.67 = 5,424.18/x
  3. Step 3: Cross multiply
    8,213.82x = 11,339.67 × 5,424.18
  4. Step 4: Simplify right side
    8,213.82x = 61,508,411.22
  5. Step 5: Solve for x
    x = 61,508,411.22/8,213.82
  6. Step 6: Final answer
    x = 7,488.41

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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.