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Finding the Fourth Proportional to 10,889.34, 16,336.46 and 3,494.24

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Solution

The fourth proportional to 10,889.34, 16,336.46 and 3,494.24 is: 5,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889.34 : 16,336.46 = 3,494.24 : x
  2. Step 2: Convert to fraction form
    10,889.34/16,336.46 = 3,494.24/x
  3. Step 3: Cross multiply
    10,889.34x = 16,336.46 × 3,494.24
  4. Step 4: Simplify right side
    10,889.34x = 57,083,511.99
  5. Step 5: Solve for x
    x = 57,083,511.99/10,889.34
  6. Step 6: Final answer
    x = 5,242.15

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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.