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Finding the Fourth Proportional to 11,108, 16,649.04 and 6,175.28

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Solution

The fourth proportional to 11,108, 16,649.04 and 6,175.28 is: 9,255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,108 : 16,649.04 = 6,175.28 : x
  2. Step 2: Convert to fraction form
    11,108/16,649.04 = 6,175.28/x
  3. Step 3: Cross multiply
    11,108x = 16,649.04 × 6,175.28
  4. Step 4: Simplify right side
    11,108x = 102,812,483.73
  5. Step 5: Solve for x
    x = 102,812,483.73/11,108
  6. Step 6: Final answer
    x = 9,255.72

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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.