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Finding the Fourth Proportional to 8,409.29, 11,609.48 and 5,052.92

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Solution

The fourth proportional to 8,409.29, 11,609.48 and 5,052.92 is: 6,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.29 : 11,609.48 = 5,052.92 : x
  2. Step 2: Convert to fraction form
    8,409.29/11,609.48 = 5,052.92/x
  3. Step 3: Cross multiply
    8,409.29x = 11,609.48 × 5,052.92
  4. Step 4: Simplify right side
    8,409.29x = 58,661,773.68
  5. Step 5: Solve for x
    x = 58,661,773.68/8,409.29
  6. Step 6: Final answer
    x = 6,975.83

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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.