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Finding the Fourth Proportional to 8,293.87, 11,426.08 and 5,771.64

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Solution

The fourth proportional to 8,293.87, 11,426.08 and 5,771.64 is: 7,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.87 : 11,426.08 = 5,771.64 : x
  2. Step 2: Convert to fraction form
    8,293.87/11,426.08 = 5,771.64/x
  3. Step 3: Cross multiply
    8,293.87x = 11,426.08 × 5,771.64
  4. Step 4: Simplify right side
    8,293.87x = 65,947,220.37
  5. Step 5: Solve for x
    x = 65,947,220.37/8,293.87
  6. Step 6: Final answer
    x = 7,951.32

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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.