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Finding the Fourth Proportional to 7,896.49, 11,845.04 and 2,052.95

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Solution

The fourth proportional to 7,896.49, 11,845.04 and 2,052.95 is: 3,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.49 : 11,845.04 = 2,052.95 : x
  2. Step 2: Convert to fraction form
    7,896.49/11,845.04 = 2,052.95/x
  3. Step 3: Cross multiply
    7,896.49x = 11,845.04 × 2,052.95
  4. Step 4: Simplify right side
    7,896.49x = 24,317,205.38
  5. Step 5: Solve for x
    x = 24,317,205.38/7,896.49
  6. Step 6: Final answer
    x = 3,079.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.