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Finding the Fourth Proportional to 11,448.54, 15,793.41 and 7,204.86

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Solution

The fourth proportional to 11,448.54, 15,793.41 and 7,204.86 is: 9,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.54 : 15,793.41 = 7,204.86 : x
  2. Step 2: Convert to fraction form
    11,448.54/15,793.41 = 7,204.86/x
  3. Step 3: Cross multiply
    11,448.54x = 15,793.41 × 7,204.86
  4. Step 4: Simplify right side
    11,448.54x = 113,789,307.97
  5. Step 5: Solve for x
    x = 113,789,307.97/11,448.54
  6. Step 6: Final answer
    x = 9,939.20

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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.