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Finding the Fourth Proportional to 7,134.94, 10,707.27 and 2,517.94

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Solution

The fourth proportional to 7,134.94, 10,707.27 and 2,517.94 is: 3,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.94 : 10,707.27 = 2,517.94 : x
  2. Step 2: Convert to fraction form
    7,134.94/10,707.27 = 2,517.94/x
  3. Step 3: Cross multiply
    7,134.94x = 10,707.27 × 2,517.94
  4. Step 4: Simplify right side
    7,134.94x = 26,960,230.36
  5. Step 5: Solve for x
    x = 26,960,230.36/7,134.94
  6. Step 6: Final answer
    x = 3,778.62

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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.