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Finding the Fourth Proportional to 11,196.49, 15,450.54 and 6,159.90

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Solution

The fourth proportional to 11,196.49, 15,450.54 and 6,159.90 is: 8,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196.49 : 15,450.54 = 6,159.90 : x
  2. Step 2: Convert to fraction form
    11,196.49/15,450.54 = 6,159.90/x
  3. Step 3: Cross multiply
    11,196.49x = 15,450.54 × 6,159.90
  4. Step 4: Simplify right side
    11,196.49x = 95,173,781.35
  5. Step 5: Solve for x
    x = 95,173,781.35/11,196.49
  6. Step 6: Final answer
    x = 8,500.32

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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.