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Finding the Fourth Proportional to 10,893.80, 16,329 and 4,310.84

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Solution

The fourth proportional to 10,893.80, 16,329 and 4,310.84 is: 6,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.80 : 16,329 = 4,310.84 : x
  2. Step 2: Convert to fraction form
    10,893.80/16,329 = 4,310.84/x
  3. Step 3: Cross multiply
    10,893.80x = 16,329 × 4,310.84
  4. Step 4: Simplify right side
    10,893.80x = 70,391,706.36
  5. Step 5: Solve for x
    x = 70,391,706.36/10,893.80
  6. Step 6: Final answer
    x = 6,461.63

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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.