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Finding the Fourth Proportional to 10,694.25, 16,048.06 and 5,148.18

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Solution

The fourth proportional to 10,694.25, 16,048.06 and 5,148.18 is: 7,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.25 : 16,048.06 = 5,148.18 : x
  2. Step 2: Convert to fraction form
    10,694.25/16,048.06 = 5,148.18/x
  3. Step 3: Cross multiply
    10,694.25x = 16,048.06 × 5,148.18
  4. Step 4: Simplify right side
    10,694.25x = 82,618,288.66
  5. Step 5: Solve for x
    x = 82,618,288.66/10,694.25
  6. Step 6: Final answer
    x = 7,725.49

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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.