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Finding the Fourth Proportional to 10,843.92, 16,268.04 and 3,053.04

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Solution

The fourth proportional to 10,843.92, 16,268.04 and 3,053.04 is: 4,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.92 : 16,268.04 = 3,053.04 : x
  2. Step 2: Convert to fraction form
    10,843.92/16,268.04 = 3,053.04/x
  3. Step 3: Cross multiply
    10,843.92x = 16,268.04 × 3,053.04
  4. Step 4: Simplify right side
    10,843.92x = 49,666,976.84
  5. Step 5: Solve for x
    x = 49,666,976.84/10,843.92
  6. Step 6: Final answer
    x = 4,580.17

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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.