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Finding the Fourth Proportional to 11,894.25, 17,841.38 and 3,686.25

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Solution

The fourth proportional to 11,894.25, 17,841.38 and 3,686.25 is: 5,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.25 : 17,841.38 = 3,686.25 : x
  2. Step 2: Convert to fraction form
    11,894.25/17,841.38 = 3,686.25/x
  3. Step 3: Cross multiply
    11,894.25x = 17,841.38 × 3,686.25
  4. Step 4: Simplify right side
    11,894.25x = 65,767,768.59
  5. Step 5: Solve for x
    x = 65,767,768.59/11,894.25
  6. Step 6: Final answer
    x = 5,529.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.