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Finding the Fourth Proportional to 8,643.38, 11,924.79 and 5,660.87

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Solution

The fourth proportional to 8,643.38, 11,924.79 and 5,660.87 is: 7,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.38 : 11,924.79 = 5,660.87 : x
  2. Step 2: Convert to fraction form
    8,643.38/11,924.79 = 5,660.87/x
  3. Step 3: Cross multiply
    8,643.38x = 11,924.79 × 5,660.87
  4. Step 4: Simplify right side
    8,643.38x = 67,504,626.34
  5. Step 5: Solve for x
    x = 67,504,626.34/8,643.38
  6. Step 6: Final answer
    x = 7,809.98

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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.