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Finding the Fourth Proportional to 11,206.82, 15,465.78 and 6,171.42

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Solution

The fourth proportional to 11,206.82, 15,465.78 and 6,171.42 is: 8,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.82 : 15,465.78 = 6,171.42 : x
  2. Step 2: Convert to fraction form
    11,206.82/15,465.78 = 6,171.42/x
  3. Step 3: Cross multiply
    11,206.82x = 15,465.78 × 6,171.42
  4. Step 4: Simplify right side
    11,206.82x = 95,445,824.01
  5. Step 5: Solve for x
    x = 95,445,824.01/11,206.82
  6. Step 6: Final answer
    x = 8,516.76

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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.