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Finding the Fourth Proportional to 11,107, 16,663.13 and 3,316.02

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Solution

The fourth proportional to 11,107, 16,663.13 and 3,316.02 is: 4,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107 : 16,663.13 = 3,316.02 : x
  2. Step 2: Convert to fraction form
    11,107/16,663.13 = 3,316.02/x
  3. Step 3: Cross multiply
    11,107x = 16,663.13 × 3,316.02
  4. Step 4: Simplify right side
    11,107x = 55,255,272.34
  5. Step 5: Solve for x
    x = 55,255,272.34/11,107
  6. Step 6: Final answer
    x = 4,974.82

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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.