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Finding the Fourth Proportional to 11,630.28, 16,042.38 and 7,649.94

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Solution

The fourth proportional to 11,630.28, 16,042.38 and 7,649.94 is: 10,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.28 : 16,042.38 = 7,649.94 : x
  2. Step 2: Convert to fraction form
    11,630.28/16,042.38 = 7,649.94/x
  3. Step 3: Cross multiply
    11,630.28x = 16,042.38 × 7,649.94
  4. Step 4: Simplify right side
    11,630.28x = 122,723,244.46
  5. Step 5: Solve for x
    x = 122,723,244.46/11,630.28
  6. Step 6: Final answer
    x = 10,552.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.