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Finding the Fourth Proportional to 7,492.97, 11,252.21 and 7,179.50

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Solution

The fourth proportional to 7,492.97, 11,252.21 and 7,179.50 is: 10,781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.97 : 11,252.21 = 7,179.50 : x
  2. Step 2: Convert to fraction form
    7,492.97/11,252.21 = 7,179.50/x
  3. Step 3: Cross multiply
    7,492.97x = 11,252.21 × 7,179.50
  4. Step 4: Simplify right side
    7,492.97x = 80,785,149.54
  5. Step 5: Solve for x
    x = 80,785,149.54/7,492.97
  6. Step 6: Final answer
    x = 10,781.47

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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.