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Finding the Fourth Proportional to 11,447.40, 15,799.01 and 8,270.97

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Solution

The fourth proportional to 11,447.40, 15,799.01 and 8,270.97 is: 11,415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.40 : 15,799.01 = 8,270.97 : x
  2. Step 2: Convert to fraction form
    11,447.40/15,799.01 = 8,270.97/x
  3. Step 3: Cross multiply
    11,447.40x = 15,799.01 × 8,270.97
  4. Step 4: Simplify right side
    11,447.40x = 130,673,137.74
  5. Step 5: Solve for x
    x = 130,673,137.74/11,447.40
  6. Step 6: Final answer
    x = 11,415.09

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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.