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Finding the Fourth Proportional to 11,331.12, 16,991.89 and 6,065

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Solution

The fourth proportional to 11,331.12, 16,991.89 and 6,065 is: 9,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.12 : 16,991.89 = 6,065 : x
  2. Step 2: Convert to fraction form
    11,331.12/16,991.89 = 6,065/x
  3. Step 3: Cross multiply
    11,331.12x = 16,991.89 × 6,065
  4. Step 4: Simplify right side
    11,331.12x = 103,055,812.85
  5. Step 5: Solve for x
    x = 103,055,812.85/11,331.12
  6. Step 6: Final answer
    x = 9,094.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.