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Finding the Fourth Proportional to 7,972.59, 11,960.25 and 2,426.49

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Solution

The fourth proportional to 7,972.59, 11,960.25 and 2,426.49 is: 3,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.59 : 11,960.25 = 2,426.49 : x
  2. Step 2: Convert to fraction form
    7,972.59/11,960.25 = 2,426.49/x
  3. Step 3: Cross multiply
    7,972.59x = 11,960.25 × 2,426.49
  4. Step 4: Simplify right side
    7,972.59x = 29,021,427.02
  5. Step 5: Solve for x
    x = 29,021,427.02/7,972.59
  6. Step 6: Final answer
    x = 3,640.15

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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.