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Finding the Fourth Proportional to 11,601.78, 16,010.37 and 9,086.46

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Solution

The fourth proportional to 11,601.78, 16,010.37 and 9,086.46 is: 12,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.78 : 16,010.37 = 9,086.46 : x
  2. Step 2: Convert to fraction form
    11,601.78/16,010.37 = 9,086.46/x
  3. Step 3: Cross multiply
    11,601.78x = 16,010.37 × 9,086.46
  4. Step 4: Simplify right side
    11,601.78x = 145,477,586.59
  5. Step 5: Solve for x
    x = 145,477,586.59/11,601.78
  6. Step 6: Final answer
    x = 12,539.25

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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.