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Finding the Fourth Proportional to 7,555, 11,333.52 and 2,361.28

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Solution

The fourth proportional to 7,555, 11,333.52 and 2,361.28 is: 3,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,555 : 11,333.52 = 2,361.28 : x
  2. Step 2: Convert to fraction form
    7,555/11,333.52 = 2,361.28/x
  3. Step 3: Cross multiply
    7,555x = 11,333.52 × 2,361.28
  4. Step 4: Simplify right side
    7,555x = 26,761,614.11
  5. Step 5: Solve for x
    x = 26,761,614.11/7,555
  6. Step 6: Final answer
    x = 3,542.24

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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.