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Finding the Fourth Proportional to 8,236.07, 11,371.02 and 5,408.46

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Solution

The fourth proportional to 8,236.07, 11,371.02 and 5,408.46 is: 7,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236.07 : 11,371.02 = 5,408.46 : x
  2. Step 2: Convert to fraction form
    8,236.07/11,371.02 = 5,408.46/x
  3. Step 3: Cross multiply
    8,236.07x = 11,371.02 × 5,408.46
  4. Step 4: Simplify right side
    8,236.07x = 61,499,706.83
  5. Step 5: Solve for x
    x = 61,499,706.83/8,236.07
  6. Step 6: Final answer
    x = 7,467.12

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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.