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Finding the Fourth Proportional to 8,188.38, 11,299.97 and 4,831.23

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Solution

The fourth proportional to 8,188.38, 11,299.97 and 4,831.23 is: 6,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.38 : 11,299.97 = 4,831.23 : x
  2. Step 2: Convert to fraction form
    8,188.38/11,299.97 = 4,831.23/x
  3. Step 3: Cross multiply
    8,188.38x = 11,299.97 × 4,831.23
  4. Step 4: Simplify right side
    8,188.38x = 54,592,754.06
  5. Step 5: Solve for x
    x = 54,592,754.06/8,188.38
  6. Step 6: Final answer
    x = 6,667.10

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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.