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Finding the Fourth Proportional to 11,754.24, 16,215.69 and 7,035.78

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Solution

The fourth proportional to 11,754.24, 16,215.69 and 7,035.78 is: 9,706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.24 : 16,215.69 = 7,035.78 : x
  2. Step 2: Convert to fraction form
    11,754.24/16,215.69 = 7,035.78/x
  3. Step 3: Cross multiply
    11,754.24x = 16,215.69 × 7,035.78
  4. Step 4: Simplify right side
    11,754.24x = 114,090,027.39
  5. Step 5: Solve for x
    x = 114,090,027.39/11,754.24
  6. Step 6: Final answer
    x = 9,706.29

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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.