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Finding the Fourth Proportional to 10,893.82, 16,342.85 and 3,497.71

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Solution

The fourth proportional to 10,893.82, 16,342.85 and 3,497.71 is: 5,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.82 : 16,342.85 = 3,497.71 : x
  2. Step 2: Convert to fraction form
    10,893.82/16,342.85 = 3,497.71/x
  3. Step 3: Cross multiply
    10,893.82x = 16,342.85 × 3,497.71
  4. Step 4: Simplify right side
    10,893.82x = 57,162,549.87
  5. Step 5: Solve for x
    x = 57,162,549.87/10,893.82
  6. Step 6: Final answer
    x = 5,247.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.