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Finding the Fourth Proportional to 8,408.66, 11,601.90 and 5,537.09

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Solution

The fourth proportional to 8,408.66, 11,601.90 and 5,537.09 is: 7,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.66 : 11,601.90 = 5,537.09 : x
  2. Step 2: Convert to fraction form
    8,408.66/11,601.90 = 5,537.09/x
  3. Step 3: Cross multiply
    8,408.66x = 11,601.90 × 5,537.09
  4. Step 4: Simplify right side
    8,408.66x = 64,240,706.46
  5. Step 5: Solve for x
    x = 64,240,706.46/8,408.66
  6. Step 6: Final answer
    x = 7,639.83

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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.