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Finding the Fourth Proportional to 11,384.73, 17,079.15 and 5,147.68

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Solution

The fourth proportional to 11,384.73, 17,079.15 and 5,147.68 is: 7,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.73 : 17,079.15 = 5,147.68 : x
  2. Step 2: Convert to fraction form
    11,384.73/17,079.15 = 5,147.68/x
  3. Step 3: Cross multiply
    11,384.73x = 17,079.15 × 5,147.68
  4. Step 4: Simplify right side
    11,384.73x = 87,918,007.50
  5. Step 5: Solve for x
    x = 87,918,007.50/11,384.73
  6. Step 6: Final answer
    x = 7,722.45

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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.