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Finding the Fourth Proportional to 8,239.14, 11,366.10 and 6,000

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Solution

The fourth proportional to 8,239.14, 11,366.10 and 6,000 is: 8,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.14 : 11,366.10 = 6,000 : x
  2. Step 2: Convert to fraction form
    8,239.14/11,366.10 = 6,000/x
  3. Step 3: Cross multiply
    8,239.14x = 11,366.10 × 6,000
  4. Step 4: Simplify right side
    8,239.14x = 68,196,600
  5. Step 5: Solve for x
    x = 68,196,600/8,239.14
  6. Step 6: Final answer
    x = 8,277.15

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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.