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Finding the Fourth Proportional to 8,027.32, 12,024.14 and 6,458.84

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Solution

The fourth proportional to 8,027.32, 12,024.14 and 6,458.84 is: 9,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.32 : 12,024.14 = 6,458.84 : x
  2. Step 2: Convert to fraction form
    8,027.32/12,024.14 = 6,458.84/x
  3. Step 3: Cross multiply
    8,027.32x = 12,024.14 × 6,458.84
  4. Step 4: Simplify right side
    8,027.32x = 77,661,996.40
  5. Step 5: Solve for x
    x = 77,661,996.40/8,027.32
  6. Step 6: Final answer
    x = 9,674.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.