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Finding the Fourth Proportional to 8,239.34, 11,370.12 and 5,885.48

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Solution

The fourth proportional to 8,239.34, 11,370.12 and 5,885.48 is: 8,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.34 : 11,370.12 = 5,885.48 : x
  2. Step 2: Convert to fraction form
    8,239.34/11,370.12 = 5,885.48/x
  3. Step 3: Cross multiply
    8,239.34x = 11,370.12 × 5,885.48
  4. Step 4: Simplify right side
    8,239.34x = 66,918,613.86
  5. Step 5: Solve for x
    x = 66,918,613.86/8,239.34
  6. Step 6: Final answer
    x = 8,121.84

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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.