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Finding the Fourth Proportional to 11,395.86, 17,069.76 and 5,832.24

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Solution

The fourth proportional to 11,395.86, 17,069.76 and 5,832.24 is: 8,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395.86 : 17,069.76 = 5,832.24 : x
  2. Step 2: Convert to fraction form
    11,395.86/17,069.76 = 5,832.24/x
  3. Step 3: Cross multiply
    11,395.86x = 17,069.76 × 5,832.24
  4. Step 4: Simplify right side
    11,395.86x = 99,554,937.06
  5. Step 5: Solve for x
    x = 99,554,937.06/11,395.86
  6. Step 6: Final answer
    x = 8,736.06

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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.