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Finding the Fourth Proportional to 11,808.25, 17,712.41 and 4,788.38

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Solution

The fourth proportional to 11,808.25, 17,712.41 and 4,788.38 is: 7,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.25 : 17,712.41 = 4,788.38 : x
  2. Step 2: Convert to fraction form
    11,808.25/17,712.41 = 4,788.38/x
  3. Step 3: Cross multiply
    11,808.25x = 17,712.41 × 4,788.38
  4. Step 4: Simplify right side
    11,808.25x = 84,813,749.80
  5. Step 5: Solve for x
    x = 84,813,749.80/11,808.25
  6. Step 6: Final answer
    x = 7,182.58

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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.