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Finding the Fourth Proportional to 11,923.14, 17,872.54 and 5,347.56

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Solution

The fourth proportional to 11,923.14, 17,872.54 and 5,347.56 is: 8,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.14 : 17,872.54 = 5,347.56 : x
  2. Step 2: Convert to fraction form
    11,923.14/17,872.54 = 5,347.56/x
  3. Step 3: Cross multiply
    11,923.14x = 17,872.54 × 5,347.56
  4. Step 4: Simplify right side
    11,923.14x = 95,574,480.00
  5. Step 5: Solve for x
    x = 95,574,480.00/11,923.14
  6. Step 6: Final answer
    x = 8,015.88

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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.