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Finding the Fourth Proportional to 10,940.10, 16,401.15 and 4,704.90

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Solution

The fourth proportional to 10,940.10, 16,401.15 and 4,704.90 is: 7,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.10 : 16,401.15 = 4,704.90 : x
  2. Step 2: Convert to fraction form
    10,940.10/16,401.15 = 4,704.90/x
  3. Step 3: Cross multiply
    10,940.10x = 16,401.15 × 4,704.90
  4. Step 4: Simplify right side
    10,940.10x = 77,165,770.64
  5. Step 5: Solve for x
    x = 77,165,770.64/10,940.10
  6. Step 6: Final answer
    x = 7,053.48

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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.