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Finding the Fourth Proportional to 10,687.24, 16,031.22 and 2,896.24

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Solution

The fourth proportional to 10,687.24, 16,031.22 and 2,896.24 is: 4,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.24 : 16,031.22 = 2,896.24 : x
  2. Step 2: Convert to fraction form
    10,687.24/16,031.22 = 2,896.24/x
  3. Step 3: Cross multiply
    10,687.24x = 16,031.22 × 2,896.24
  4. Step 4: Simplify right side
    10,687.24x = 46,430,260.61
  5. Step 5: Solve for x
    x = 46,430,260.61/10,687.24
  6. Step 6: Final answer
    x = 4,344.46

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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.