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Finding the Fourth Proportional to 8,135.98, 12,204.69 and 2,292.64

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Solution

The fourth proportional to 8,135.98, 12,204.69 and 2,292.64 is: 3,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.98 : 12,204.69 = 2,292.64 : x
  2. Step 2: Convert to fraction form
    8,135.98/12,204.69 = 2,292.64/x
  3. Step 3: Cross multiply
    8,135.98x = 12,204.69 × 2,292.64
  4. Step 4: Simplify right side
    8,135.98x = 27,980,960.48
  5. Step 5: Solve for x
    x = 27,980,960.48/8,135.98
  6. Step 6: Final answer
    x = 3,439.16

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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.