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Finding the Fourth Proportional to 8,381.72, 11,563.47 and 5,399.28

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Solution

The fourth proportional to 8,381.72, 11,563.47 and 5,399.28 is: 7,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.72 : 11,563.47 = 5,399.28 : x
  2. Step 2: Convert to fraction form
    8,381.72/11,563.47 = 5,399.28/x
  3. Step 3: Cross multiply
    8,381.72x = 11,563.47 × 5,399.28
  4. Step 4: Simplify right side
    8,381.72x = 62,434,412.30
  5. Step 5: Solve for x
    x = 62,434,412.30/8,381.72
  6. Step 6: Final answer
    x = 7,448.88

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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.