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Finding the Fourth Proportional to 10,893.84, 16,339.21 and 3,497.34

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Solution

The fourth proportional to 10,893.84, 16,339.21 and 3,497.34 is: 5,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.84 : 16,339.21 = 3,497.34 : x
  2. Step 2: Convert to fraction form
    10,893.84/16,339.21 = 3,497.34/x
  3. Step 3: Cross multiply
    10,893.84x = 16,339.21 × 3,497.34
  4. Step 4: Simplify right side
    10,893.84x = 57,143,682.26
  5. Step 5: Solve for x
    x = 57,143,682.26/10,893.84
  6. Step 6: Final answer
    x = 5,245.51

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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.