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Finding the Fourth Proportional to 7,560.72, 11,342.16 and 2,367

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Solution

The fourth proportional to 7,560.72, 11,342.16 and 2,367 is: 3,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560.72 : 11,342.16 = 2,367 : x
  2. Step 2: Convert to fraction form
    7,560.72/11,342.16 = 2,367/x
  3. Step 3: Cross multiply
    7,560.72x = 11,342.16 × 2,367
  4. Step 4: Simplify right side
    7,560.72x = 26,846,892.72
  5. Step 5: Solve for x
    x = 26,846,892.72/7,560.72
  6. Step 6: Final answer
    x = 3,550.84

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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.