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Finding the Fourth Proportional to 7,134.19, 10,706.14 and 2,517.19

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Solution

The fourth proportional to 7,134.19, 10,706.14 and 2,517.19 is: 3,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.19 : 10,706.14 = 2,517.19 : x
  2. Step 2: Convert to fraction form
    7,134.19/10,706.14 = 2,517.19/x
  3. Step 3: Cross multiply
    7,134.19x = 10,706.14 × 2,517.19
  4. Step 4: Simplify right side
    7,134.19x = 26,949,364.93
  5. Step 5: Solve for x
    x = 26,949,364.93/7,134.19
  6. Step 6: Final answer
    x = 3,777.50

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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.