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Finding the Fourth Proportional to 11,546.92, 17,285.82 and 7,434.28

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Solution

The fourth proportional to 11,546.92, 17,285.82 and 7,434.28 is: 11,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.92 : 17,285.82 = 7,434.28 : x
  2. Step 2: Convert to fraction form
    11,546.92/17,285.82 = 7,434.28/x
  3. Step 3: Cross multiply
    11,546.92x = 17,285.82 × 7,434.28
  4. Step 4: Simplify right side
    11,546.92x = 128,507,625.91
  5. Step 5: Solve for x
    x = 128,507,625.91/11,546.92
  6. Step 6: Final answer
    x = 11,129.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.