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Finding the Fourth Proportional to 8,152.36, 12,228.24 and 2,308.96

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Solution

The fourth proportional to 8,152.36, 12,228.24 and 2,308.96 is: 3,463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.36 : 12,228.24 = 2,308.96 : x
  2. Step 2: Convert to fraction form
    8,152.36/12,228.24 = 2,308.96/x
  3. Step 3: Cross multiply
    8,152.36x = 12,228.24 × 2,308.96
  4. Step 4: Simplify right side
    8,152.36x = 28,234,517.03
  5. Step 5: Solve for x
    x = 28,234,517.03/8,152.36
  6. Step 6: Final answer
    x = 3,463.36

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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.