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Finding the Fourth Proportional to 11,589.80, 15,997.01 and 7,115.36

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Solution

The fourth proportional to 11,589.80, 15,997.01 and 7,115.36 is: 9,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.80 : 15,997.01 = 7,115.36 : x
  2. Step 2: Convert to fraction form
    11,589.80/15,997.01 = 7,115.36/x
  3. Step 3: Cross multiply
    11,589.80x = 15,997.01 × 7,115.36
  4. Step 4: Simplify right side
    11,589.80x = 113,824,369.51
  5. Step 5: Solve for x
    x = 113,824,369.51/11,589.80
  6. Step 6: Final answer
    x = 9,821.09

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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.