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Finding the Fourth Proportional to 10,883.97, 16,322.31 and 4,312.44

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Solution

The fourth proportional to 10,883.97, 16,322.31 and 4,312.44 is: 6,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.97 : 16,322.31 = 4,312.44 : x
  2. Step 2: Convert to fraction form
    10,883.97/16,322.31 = 4,312.44/x
  3. Step 3: Cross multiply
    10,883.97x = 16,322.31 × 4,312.44
  4. Step 4: Simplify right side
    10,883.97x = 70,388,982.54
  5. Step 5: Solve for x
    x = 70,388,982.54/10,883.97
  6. Step 6: Final answer
    x = 6,467.22

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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.