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Finding the Fourth Proportional to 8,455.46, 11,652.09 and 6,093.14

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Solution

The fourth proportional to 8,455.46, 11,652.09 and 6,093.14 is: 8,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.46 : 11,652.09 = 6,093.14 : x
  2. Step 2: Convert to fraction form
    8,455.46/11,652.09 = 6,093.14/x
  3. Step 3: Cross multiply
    8,455.46x = 11,652.09 × 6,093.14
  4. Step 4: Simplify right side
    8,455.46x = 70,997,815.66
  5. Step 5: Solve for x
    x = 70,997,815.66/8,455.46
  6. Step 6: Final answer
    x = 8,396.68

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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.