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Finding the Fourth Proportional to 11,741.28, 16,203.71 and 6,436.11

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Solution

The fourth proportional to 11,741.28, 16,203.71 and 6,436.11 is: 8,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.28 : 16,203.71 = 6,436.11 : x
  2. Step 2: Convert to fraction form
    11,741.28/16,203.71 = 6,436.11/x
  3. Step 3: Cross multiply
    11,741.28x = 16,203.71 × 6,436.11
  4. Step 4: Simplify right side
    11,741.28x = 104,288,795.04
  5. Step 5: Solve for x
    x = 104,288,795.04/11,741.28
  6. Step 6: Final answer
    x = 8,882.24

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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.