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Finding the Fourth Proportional to 8,281.36, 12,425.28 and 3,086.02

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Solution

The fourth proportional to 8,281.36, 12,425.28 and 3,086.02 is: 4,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.36 : 12,425.28 = 3,086.02 : x
  2. Step 2: Convert to fraction form
    8,281.36/12,425.28 = 3,086.02/x
  3. Step 3: Cross multiply
    8,281.36x = 12,425.28 × 3,086.02
  4. Step 4: Simplify right side
    8,281.36x = 38,344,662.59
  5. Step 5: Solve for x
    x = 38,344,662.59/8,281.36
  6. Step 6: Final answer
    x = 4,630.24

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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.