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Finding the Fourth Proportional to 7,963.58, 11,947.25 and 2,698.38

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Solution

The fourth proportional to 7,963.58, 11,947.25 and 2,698.38 is: 4,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.58 : 11,947.25 = 2,698.38 : x
  2. Step 2: Convert to fraction form
    7,963.58/11,947.25 = 2,698.38/x
  3. Step 3: Cross multiply
    7,963.58x = 11,947.25 × 2,698.38
  4. Step 4: Simplify right side
    7,963.58x = 32,238,206.96
  5. Step 5: Solve for x
    x = 32,238,206.96/7,963.58
  6. Step 6: Final answer
    x = 4,048.21

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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.