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Finding the Fourth Proportional to 11,496.23, 15,864.34 and 7,027.46

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Solution

The fourth proportional to 11,496.23, 15,864.34 and 7,027.46 is: 9,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.23 : 15,864.34 = 7,027.46 : x
  2. Step 2: Convert to fraction form
    11,496.23/15,864.34 = 7,027.46/x
  3. Step 3: Cross multiply
    11,496.23x = 15,864.34 × 7,027.46
  4. Step 4: Simplify right side
    11,496.23x = 111,485,900.32
  5. Step 5: Solve for x
    x = 111,485,900.32/11,496.23
  6. Step 6: Final answer
    x = 9,697.61

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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.