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Finding the Fourth Proportional to 13,753.53, 18,981.06 and 7,786.26

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Solution

The fourth proportional to 13,753.53, 18,981.06 and 7,786.26 is: 10,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.53 : 18,981.06 = 7,786.26 : x
  2. Step 2: Convert to fraction form
    13,753.53/18,981.06 = 7,786.26/x
  3. Step 3: Cross multiply
    13,753.53x = 18,981.06 × 7,786.26
  4. Step 4: Simplify right side
    13,753.53x = 147,791,468.24
  5. Step 5: Solve for x
    x = 147,791,468.24/13,753.53
  6. Step 6: Final answer
    x = 10,745.71

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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.