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Finding the Fourth Proportional to 8,415.27, 11,609.28 and 5,723.19

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Solution

The fourth proportional to 8,415.27, 11,609.28 and 5,723.19 is: 7,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.27 : 11,609.28 = 5,723.19 : x
  2. Step 2: Convert to fraction form
    8,415.27/11,609.28 = 5,723.19/x
  3. Step 3: Cross multiply
    8,415.27x = 11,609.28 × 5,723.19
  4. Step 4: Simplify right side
    8,415.27x = 66,442,115.20
  5. Step 5: Solve for x
    x = 66,442,115.20/8,415.27
  6. Step 6: Final answer
    x = 7,895.42

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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.