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Finding the Fourth Proportional to 11,448.41, 15,793.52 and 7,416.56

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Solution

The fourth proportional to 11,448.41, 15,793.52 and 7,416.56 is: 10,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.41 : 15,793.52 = 7,416.56 : x
  2. Step 2: Convert to fraction form
    11,448.41/15,793.52 = 7,416.56/x
  3. Step 3: Cross multiply
    11,448.41x = 15,793.52 × 7,416.56
  4. Step 4: Simplify right side
    11,448.41x = 117,133,591.09
  5. Step 5: Solve for x
    x = 117,133,591.09/11,448.41
  6. Step 6: Final answer
    x = 10,231.43

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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.