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Finding the Fourth Proportional to 11,844.43, 16,344.18 and 7,065.83

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Solution

The fourth proportional to 11,844.43, 16,344.18 and 7,065.83 is: 9,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.43 : 16,344.18 = 7,065.83 : x
  2. Step 2: Convert to fraction form
    11,844.43/16,344.18 = 7,065.83/x
  3. Step 3: Cross multiply
    11,844.43x = 16,344.18 × 7,065.83
  4. Step 4: Simplify right side
    11,844.43x = 115,485,238.23
  5. Step 5: Solve for x
    x = 115,485,238.23/11,844.43
  6. Step 6: Final answer
    x = 9,750.17

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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.