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Finding the Fourth Proportional to 8,202.49, 12,300.71 and 2,936.07

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Solution

The fourth proportional to 8,202.49, 12,300.71 and 2,936.07 is: 4,403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.49 : 12,300.71 = 2,936.07 : x
  2. Step 2: Convert to fraction form
    8,202.49/12,300.71 = 2,936.07/x
  3. Step 3: Cross multiply
    8,202.49x = 12,300.71 × 2,936.07
  4. Step 4: Simplify right side
    8,202.49x = 36,115,730.93
  5. Step 5: Solve for x
    x = 36,115,730.93/8,202.49
  6. Step 6: Final answer
    x = 4,403.02

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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.