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Finding the Fourth Proportional to 8,188.57, 11,299.84 and 4,831.53

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Solution

The fourth proportional to 8,188.57, 11,299.84 and 4,831.53 is: 6,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.57 : 11,299.84 = 4,831.53 : x
  2. Step 2: Convert to fraction form
    8,188.57/11,299.84 = 4,831.53/x
  3. Step 3: Cross multiply
    8,188.57x = 11,299.84 × 4,831.53
  4. Step 4: Simplify right side
    8,188.57x = 54,595,515.96
  5. Step 5: Solve for x
    x = 54,595,515.96/8,188.57
  6. Step 6: Final answer
    x = 6,667.28

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