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Finding the Fourth Proportional to 11,261.97, 15,546.96 and 7,491.42

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Solution

The fourth proportional to 11,261.97, 15,546.96 and 7,491.42 is: 10,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.97 : 15,546.96 = 7,491.42 : x
  2. Step 2: Convert to fraction form
    11,261.97/15,546.96 = 7,491.42/x
  3. Step 3: Cross multiply
    11,261.97x = 15,546.96 × 7,491.42
  4. Step 4: Simplify right side
    11,261.97x = 116,468,807.08
  5. Step 5: Solve for x
    x = 116,468,807.08/11,261.97
  6. Step 6: Final answer
    x = 10,341.78

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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.