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Finding the Fourth Proportional to 7,978.16, 11,963.20 and 3,760

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Solution

The fourth proportional to 7,978.16, 11,963.20 and 3,760 is: 5,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.16 : 11,963.20 = 3,760 : x
  2. Step 2: Convert to fraction form
    7,978.16/11,963.20 = 3,760/x
  3. Step 3: Cross multiply
    7,978.16x = 11,963.20 × 3,760
  4. Step 4: Simplify right side
    7,978.16x = 44,981,632
  5. Step 5: Solve for x
    x = 44,981,632/7,978.16
  6. Step 6: Final answer
    x = 5,638.10

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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.