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Finding the Fourth Proportional to 8,119.54, 11,212.53 and 5,976.28

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Solution

The fourth proportional to 8,119.54, 11,212.53 and 5,976.28 is: 8,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.54 : 11,212.53 = 5,976.28 : x
  2. Step 2: Convert to fraction form
    8,119.54/11,212.53 = 5,976.28/x
  3. Step 3: Cross multiply
    8,119.54x = 11,212.53 × 5,976.28
  4. Step 4: Simplify right side
    8,119.54x = 67,009,162.73
  5. Step 5: Solve for x
    x = 67,009,162.73/8,119.54
  6. Step 6: Final answer
    x = 8,252.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.