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Finding the Fourth Proportional to 7,963.52, 11,946.78 and 3,803.85

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Solution

The fourth proportional to 7,963.52, 11,946.78 and 3,803.85 is: 5,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.52 : 11,946.78 = 3,803.85 : x
  2. Step 2: Convert to fraction form
    7,963.52/11,946.78 = 3,803.85/x
  3. Step 3: Cross multiply
    7,963.52x = 11,946.78 × 3,803.85
  4. Step 4: Simplify right side
    7,963.52x = 45,443,759.10
  5. Step 5: Solve for x
    x = 45,443,759.10/7,963.52
  6. Step 6: Final answer
    x = 5,706.50

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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.