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Finding the Fourth Proportional to 11,324.05, 15,629.49 and 6,544.20

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Solution

The fourth proportional to 11,324.05, 15,629.49 and 6,544.20 is: 9,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.05 : 15,629.49 = 6,544.20 : x
  2. Step 2: Convert to fraction form
    11,324.05/15,629.49 = 6,544.20/x
  3. Step 3: Cross multiply
    11,324.05x = 15,629.49 × 6,544.20
  4. Step 4: Simplify right side
    11,324.05x = 102,282,460.75
  5. Step 5: Solve for x
    x = 102,282,460.75/11,324.05
  6. Step 6: Final answer
    x = 9,032.32

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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.