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Finding the Fourth Proportional to 11,406.24, 15,736.28 and 8,429.22

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Solution

The fourth proportional to 11,406.24, 15,736.28 and 8,429.22 is: 11,629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.24 : 15,736.28 = 8,429.22 : x
  2. Step 2: Convert to fraction form
    11,406.24/15,736.28 = 8,429.22/x
  3. Step 3: Cross multiply
    11,406.24x = 15,736.28 × 8,429.22
  4. Step 4: Simplify right side
    11,406.24x = 132,644,523.96
  5. Step 5: Solve for x
    x = 132,644,523.96/11,406.24
  6. Step 6: Final answer
    x = 11,629.12

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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.