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Finding the Fourth Proportional to 8,344.49, 11,514.26 and 4,986.60

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Solution

The fourth proportional to 8,344.49, 11,514.26 and 4,986.60 is: 6,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.49 : 11,514.26 = 4,986.60 : x
  2. Step 2: Convert to fraction form
    8,344.49/11,514.26 = 4,986.60/x
  3. Step 3: Cross multiply
    8,344.49x = 11,514.26 × 4,986.60
  4. Step 4: Simplify right side
    8,344.49x = 57,417,008.92
  5. Step 5: Solve for x
    x = 57,417,008.92/8,344.49
  6. Step 6: Final answer
    x = 6,880.83

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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.