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Finding the Fourth Proportional to 10,754.36, 14,843.39 and 5,975.94

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Solution

The fourth proportional to 10,754.36, 14,843.39 and 5,975.94 is: 8,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.36 : 14,843.39 = 5,975.94 : x
  2. Step 2: Convert to fraction form
    10,754.36/14,843.39 = 5,975.94/x
  3. Step 3: Cross multiply
    10,754.36x = 14,843.39 × 5,975.94
  4. Step 4: Simplify right side
    10,754.36x = 88,703,233.82
  5. Step 5: Solve for x
    x = 88,703,233.82/10,754.36
  6. Step 6: Final answer
    x = 8,248.12

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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.