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Finding the Fourth Proportional to 8,286.47, 12,429.59 and 3,022.64

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Solution

The fourth proportional to 8,286.47, 12,429.59 and 3,022.64 is: 4,533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.47 : 12,429.59 = 3,022.64 : x
  2. Step 2: Convert to fraction form
    8,286.47/12,429.59 = 3,022.64/x
  3. Step 3: Cross multiply
    8,286.47x = 12,429.59 × 3,022.64
  4. Step 4: Simplify right side
    8,286.47x = 37,570,098.66
  5. Step 5: Solve for x
    x = 37,570,098.66/8,286.47
  6. Step 6: Final answer
    x = 4,533.91

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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.