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Finding the Fourth Proportional to 8,369.73, 11,551.82 and 5,537.16

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Solution

The fourth proportional to 8,369.73, 11,551.82 and 5,537.16 is: 7,642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.73 : 11,551.82 = 5,537.16 : x
  2. Step 2: Convert to fraction form
    8,369.73/11,551.82 = 5,537.16/x
  3. Step 3: Cross multiply
    8,369.73x = 11,551.82 × 5,537.16
  4. Step 4: Simplify right side
    8,369.73x = 63,964,247.95
  5. Step 5: Solve for x
    x = 63,964,247.95/8,369.73
  6. Step 6: Final answer
    x = 7,642.33

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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.