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Finding the Fourth Proportional to 12,694.08, 19,044.48 and 5,296.08

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Solution

The fourth proportional to 12,694.08, 19,044.48 and 5,296.08 is: 7,945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.08 : 19,044.48 = 5,296.08 : x
  2. Step 2: Convert to fraction form
    12,694.08/19,044.48 = 5,296.08/x
  3. Step 3: Cross multiply
    12,694.08x = 19,044.48 × 5,296.08
  4. Step 4: Simplify right side
    12,694.08x = 100,861,089.64
  5. Step 5: Solve for x
    x = 100,861,089.64/12,694.08
  6. Step 6: Final answer
    x = 7,945.52

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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.