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Finding the Fourth Proportional to 8,454.46, 11,650.71 and 6,092.14

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Solution

The fourth proportional to 8,454.46, 11,650.71 and 6,092.14 is: 8,395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.46 : 11,650.71 = 6,092.14 : x
  2. Step 2: Convert to fraction form
    8,454.46/11,650.71 = 6,092.14/x
  3. Step 3: Cross multiply
    8,454.46x = 11,650.71 × 6,092.14
  4. Step 4: Simplify right side
    8,454.46x = 70,977,756.42
  5. Step 5: Solve for x
    x = 70,977,756.42/8,454.46
  6. Step 6: Final answer
    x = 8,395.30

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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.