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Finding the Fourth Proportional to 8,286.29, 12,434.00 and 3,903.64

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Solution

The fourth proportional to 8,286.29, 12,434.00 and 3,903.64 is: 5,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.29 : 12,434.00 = 3,903.64 : x
  2. Step 2: Convert to fraction form
    8,286.29/12,434.00 = 3,903.64/x
  3. Step 3: Cross multiply
    8,286.29x = 12,434.00 × 3,903.64
  4. Step 4: Simplify right side
    8,286.29x = 48,537,809.16
  5. Step 5: Solve for x
    x = 48,537,809.16/8,286.29
  6. Step 6: Final answer
    x = 5,857.60

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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.