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Finding the Fourth Proportional to 7,930.04, 11,947.82 and 7,180.04

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Solution

The fourth proportional to 7,930.04, 11,947.82 and 7,180.04 is: 10,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.04 : 11,947.82 = 7,180.04 : x
  2. Step 2: Convert to fraction form
    7,930.04/11,947.82 = 7,180.04/x
  3. Step 3: Cross multiply
    7,930.04x = 11,947.82 × 7,180.04
  4. Step 4: Simplify right side
    7,930.04x = 85,785,825.51
  5. Step 5: Solve for x
    x = 85,785,825.51/7,930.04
  6. Step 6: Final answer
    x = 10,817.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.