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Finding the Fourth Proportional to 11,206, 15,465.36 and 6,238

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Solution

The fourth proportional to 11,206, 15,465.36 and 6,238 is: 8,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206 : 15,465.36 = 6,238 : x
  2. Step 2: Convert to fraction form
    11,206/15,465.36 = 6,238/x
  3. Step 3: Cross multiply
    11,206x = 15,465.36 × 6,238
  4. Step 4: Simplify right side
    11,206x = 96,472,915.68
  5. Step 5: Solve for x
    x = 96,472,915.68/11,206
  6. Step 6: Final answer
    x = 8,609.04

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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.