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Finding the Fourth Proportional to 7,963.52, 11,945.26 and 2,698.53

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Solution

The fourth proportional to 7,963.52, 11,945.26 and 2,698.53 is: 4,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.52 : 11,945.26 = 2,698.53 : x
  2. Step 2: Convert to fraction form
    7,963.52/11,945.26 = 2,698.53/x
  3. Step 3: Cross multiply
    7,963.52x = 11,945.26 × 2,698.53
  4. Step 4: Simplify right side
    7,963.52x = 32,234,653.06
  5. Step 5: Solve for x
    x = 32,234,653.06/7,963.52
  6. Step 6: Final answer
    x = 4,047.79

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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.