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Finding the Fourth Proportional to 7,533.72, 10,391.31 and 5,171.76

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Solution

The fourth proportional to 7,533.72, 10,391.31 and 5,171.76 is: 7,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.72 : 10,391.31 = 5,171.76 : x
  2. Step 2: Convert to fraction form
    7,533.72/10,391.31 = 5,171.76/x
  3. Step 3: Cross multiply
    7,533.72x = 10,391.31 × 5,171.76
  4. Step 4: Simplify right side
    7,533.72x = 53,741,361.41
  5. Step 5: Solve for x
    x = 53,741,361.41/7,533.72
  6. Step 6: Final answer
    x = 7,133.44

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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.