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Finding the Fourth Proportional to 11,635.74, 16,058.39 and 6,601.60

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Solution

The fourth proportional to 11,635.74, 16,058.39 and 6,601.60 is: 9,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.74 : 16,058.39 = 6,601.60 : x
  2. Step 2: Convert to fraction form
    11,635.74/16,058.39 = 6,601.60/x
  3. Step 3: Cross multiply
    11,635.74x = 16,058.39 × 6,601.60
  4. Step 4: Simplify right side
    11,635.74x = 106,011,067.42
  5. Step 5: Solve for x
    x = 106,011,067.42/11,635.74
  6. Step 6: Final answer
    x = 9,110.81

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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.