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Finding the Fourth Proportional to 11,797.92, 17,698.80 and 5,875.08

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Solution

The fourth proportional to 11,797.92, 17,698.80 and 5,875.08 is: 8,813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.92 : 17,698.80 = 5,875.08 : x
  2. Step 2: Convert to fraction form
    11,797.92/17,698.80 = 5,875.08/x
  3. Step 3: Cross multiply
    11,797.92x = 17,698.80 × 5,875.08
  4. Step 4: Simplify right side
    11,797.92x = 103,981,865.90
  5. Step 5: Solve for x
    x = 103,981,865.90/11,797.92
  6. Step 6: Final answer
    x = 8,813.58

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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.