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Finding the Fourth Proportional to 7,963.63, 11,947.24 and 2,698.34

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Solution

The fourth proportional to 7,963.63, 11,947.24 and 2,698.34 is: 4,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.63 : 11,947.24 = 2,698.34 : x
  2. Step 2: Convert to fraction form
    7,963.63/11,947.24 = 2,698.34/x
  3. Step 3: Cross multiply
    7,963.63x = 11,947.24 × 2,698.34
  4. Step 4: Simplify right side
    7,963.63x = 32,237,715.58
  5. Step 5: Solve for x
    x = 32,237,715.58/7,963.63
  6. Step 6: Final answer
    x = 4,048.12

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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.