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Finding the Fourth Proportional to 8,447.72, 11,658.83 and 5,092.25

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Solution

The fourth proportional to 8,447.72, 11,658.83 and 5,092.25 is: 7,027.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.72 : 11,658.83 = 5,092.25 : x
  2. Step 2: Convert to fraction form
    8,447.72/11,658.83 = 5,092.25/x
  3. Step 3: Cross multiply
    8,447.72x = 11,658.83 × 5,092.25
  4. Step 4: Simplify right side
    8,447.72x = 59,369,593.31
  5. Step 5: Solve for x
    x = 59,369,593.31/8,447.72
  6. Step 6: Final answer
    x = 7,027.89

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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.