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Finding the Fourth Proportional to 11,194.68, 15,448.79 and 6,414.53

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Solution

The fourth proportional to 11,194.68, 15,448.79 and 6,414.53 is: 8,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.68 : 15,448.79 = 6,414.53 : x
  2. Step 2: Convert to fraction form
    11,194.68/15,448.79 = 6,414.53/x
  3. Step 3: Cross multiply
    11,194.68x = 15,448.79 × 6,414.53
  4. Step 4: Simplify right side
    11,194.68x = 99,096,765.54
  5. Step 5: Solve for x
    x = 99,096,765.54/11,194.68
  6. Step 6: Final answer
    x = 8,852.13

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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.