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Finding the Fourth Proportional to 8,469.52, 11,687.72 and 4,933.36

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Solution

The fourth proportional to 8,469.52, 11,687.72 and 4,933.36 is: 6,807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.52 : 11,687.72 = 4,933.36 : x
  2. Step 2: Convert to fraction form
    8,469.52/11,687.72 = 4,933.36/x
  3. Step 3: Cross multiply
    8,469.52x = 11,687.72 × 4,933.36
  4. Step 4: Simplify right side
    8,469.52x = 57,659,730.34
  5. Step 5: Solve for x
    x = 57,659,730.34/8,469.52
  6. Step 6: Final answer
    x = 6,807.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.