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Finding the Fourth Proportional to 10,945.80, 16,407.90 and 4,363.20

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Solution

The fourth proportional to 10,945.80, 16,407.90 and 4,363.20 is: 6,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.80 : 16,407.90 = 4,363.20 : x
  2. Step 2: Convert to fraction form
    10,945.80/16,407.90 = 4,363.20/x
  3. Step 3: Cross multiply
    10,945.80x = 16,407.90 × 4,363.20
  4. Step 4: Simplify right side
    10,945.80x = 71,590,949.28
  5. Step 5: Solve for x
    x = 71,590,949.28/10,945.80
  6. Step 6: Final answer
    x = 6,540.49

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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.