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Finding the Fourth Proportional to 7,129.80, 10,694.70 and 5,270.85

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Solution

The fourth proportional to 7,129.80, 10,694.70 and 5,270.85 is: 7,906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.80 : 10,694.70 = 5,270.85 : x
  2. Step 2: Convert to fraction form
    7,129.80/10,694.70 = 5,270.85/x
  3. Step 3: Cross multiply
    7,129.80x = 10,694.70 × 5,270.85
  4. Step 4: Simplify right side
    7,129.80x = 56,370,159.50
  5. Step 5: Solve for x
    x = 56,370,159.50/7,129.80
  6. Step 6: Final answer
    x = 7,906.28

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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.