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Finding the Fourth Proportional to 11,279.84, 16,919.04 and 3,488

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Solution

The fourth proportional to 11,279.84, 16,919.04 and 3,488 is: 5,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,279.84 : 16,919.04 = 3,488 : x
  2. Step 2: Convert to fraction form
    11,279.84/16,919.04 = 3,488/x
  3. Step 3: Cross multiply
    11,279.84x = 16,919.04 × 3,488
  4. Step 4: Simplify right side
    11,279.84x = 59,013,611.52
  5. Step 5: Solve for x
    x = 59,013,611.52/11,279.84
  6. Step 6: Final answer
    x = 5,231.78

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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.