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Finding the Fourth Proportional to 8,004.92, 11,978.33 and 5,788.19

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Solution

The fourth proportional to 8,004.92, 11,978.33 and 5,788.19 is: 8,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.92 : 11,978.33 = 5,788.19 : x
  2. Step 2: Convert to fraction form
    8,004.92/11,978.33 = 5,788.19/x
  3. Step 3: Cross multiply
    8,004.92x = 11,978.33 × 5,788.19
  4. Step 4: Simplify right side
    8,004.92x = 69,332,761.09
  5. Step 5: Solve for x
    x = 69,332,761.09/8,004.92
  6. Step 6: Final answer
    x = 8,661.27

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1.5x scale

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.