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Finding the Fourth Proportional to 7,553, 11,327.34 and 3,171.44

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Solution

The fourth proportional to 7,553, 11,327.34 and 3,171.44 is: 4,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,553 : 11,327.34 = 3,171.44 : x
  2. Step 2: Convert to fraction form
    7,553/11,327.34 = 3,171.44/x
  3. Step 3: Cross multiply
    7,553x = 11,327.34 × 3,171.44
  4. Step 4: Simplify right side
    7,553x = 35,923,979.17
  5. Step 5: Solve for x
    x = 35,923,979.17/7,553
  6. Step 6: Final answer
    x = 4,756.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.