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Finding the Fourth Proportional to 11,228, 16,841.93 and 2,908.00

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Solution

The fourth proportional to 11,228, 16,841.93 and 2,908.00 is: 4,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228 : 16,841.93 = 2,908.00 : x
  2. Step 2: Convert to fraction form
    11,228/16,841.93 = 2,908.00/x
  3. Step 3: Cross multiply
    11,228x = 16,841.93 × 2,908.00
  4. Step 4: Simplify right side
    11,228x = 48,976,248.23
  5. Step 5: Solve for x
    x = 48,976,248.23/11,228
  6. Step 6: Final answer
    x = 4,361.97

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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.