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Finding the Fourth Proportional to 8,164.29, 12,242.79 and 3,783

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Solution

The fourth proportional to 8,164.29, 12,242.79 and 3,783 is: 5,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.29 : 12,242.79 = 3,783 : x
  2. Step 2: Convert to fraction form
    8,164.29/12,242.79 = 3,783/x
  3. Step 3: Cross multiply
    8,164.29x = 12,242.79 × 3,783
  4. Step 4: Simplify right side
    8,164.29x = 46,314,474.57
  5. Step 5: Solve for x
    x = 46,314,474.57/8,164.29
  6. Step 6: Final answer
    x = 5,672.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.