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Finding the Fourth Proportional to 10,057.26, 13,838.22 and 8,258.16

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Solution

The fourth proportional to 10,057.26, 13,838.22 and 8,258.16 is: 11,362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.26 : 13,838.22 = 8,258.16 : x
  2. Step 2: Convert to fraction form
    10,057.26/13,838.22 = 8,258.16/x
  3. Step 3: Cross multiply
    10,057.26x = 13,838.22 × 8,258.16
  4. Step 4: Simplify right side
    10,057.26x = 114,278,234.88
  5. Step 5: Solve for x
    x = 114,278,234.88/10,057.26
  6. Step 6: Final answer
    x = 11,362.76

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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.