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Finding the Fourth Proportional to 11,194.38, 15,447.23 and 6,158.81

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Solution

The fourth proportional to 11,194.38, 15,447.23 and 6,158.81 is: 8,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.38 : 15,447.23 = 6,158.81 : x
  2. Step 2: Convert to fraction form
    11,194.38/15,447.23 = 6,158.81/x
  3. Step 3: Cross multiply
    11,194.38x = 15,447.23 × 6,158.81
  4. Step 4: Simplify right side
    11,194.38x = 95,136,485.18
  5. Step 5: Solve for x
    x = 95,136,485.18/11,194.38
  6. Step 6: Final answer
    x = 8,498.60

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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.