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Finding the Fourth Proportional to 11,194.05, 15,447.86 and 6,158.14

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Solution

The fourth proportional to 11,194.05, 15,447.86 and 6,158.14 is: 8,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.05 : 15,447.86 = 6,158.14 : x
  2. Step 2: Convert to fraction form
    11,194.05/15,447.86 = 6,158.14/x
  3. Step 3: Cross multiply
    11,194.05x = 15,447.86 × 6,158.14
  4. Step 4: Simplify right side
    11,194.05x = 95,130,084.58
  5. Step 5: Solve for x
    x = 95,130,084.58/11,194.05
  6. Step 6: Final answer
    x = 8,498.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.