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Finding the Fourth Proportional to 10,431.72, 14,395.86 and 5,716.44

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Solution

The fourth proportional to 10,431.72, 14,395.86 and 5,716.44 is: 7,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.72 : 14,395.86 = 5,716.44 : x
  2. Step 2: Convert to fraction form
    10,431.72/14,395.86 = 5,716.44/x
  3. Step 3: Cross multiply
    10,431.72x = 14,395.86 × 5,716.44
  4. Step 4: Simplify right side
    10,431.72x = 82,293,069.94
  5. Step 5: Solve for x
    x = 82,293,069.94/10,431.72
  6. Step 6: Final answer
    x = 7,888.73

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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.