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Finding the Fourth Proportional to 11,194.44, 15,448.14 and 6,349.38

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Solution

The fourth proportional to 11,194.44, 15,448.14 and 6,349.38 is: 8,762.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.44 : 15,448.14 = 6,349.38 : x
  2. Step 2: Convert to fraction form
    11,194.44/15,448.14 = 6,349.38/x
  3. Step 3: Cross multiply
    11,194.44x = 15,448.14 × 6,349.38
  4. Step 4: Simplify right side
    11,194.44x = 98,086,111.15
  5. Step 5: Solve for x
    x = 98,086,111.15/11,194.44
  6. Step 6: Final answer
    x = 8,762.04

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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.