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Finding the Fourth Proportional to 7,342.56, 11,018 and 2,963.12

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Solution

The fourth proportional to 7,342.56, 11,018 and 2,963.12 is: 4,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.56 : 11,018 = 2,963.12 : x
  2. Step 2: Convert to fraction form
    7,342.56/11,018 = 2,963.12/x
  3. Step 3: Cross multiply
    7,342.56x = 11,018 × 2,963.12
  4. Step 4: Simplify right side
    7,342.56x = 32,647,656.16
  5. Step 5: Solve for x
    x = 32,647,656.16/7,342.56
  6. Step 6: Final answer
    x = 4,446.36

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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.