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Finding the Fourth Proportional to 7,143.45, 10,716.18 and 2,213.46

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Solution

The fourth proportional to 7,143.45, 10,716.18 and 2,213.46 is: 3,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.45 : 10,716.18 = 2,213.46 : x
  2. Step 2: Convert to fraction form
    7,143.45/10,716.18 = 2,213.46/x
  3. Step 3: Cross multiply
    7,143.45x = 10,716.18 × 2,213.46
  4. Step 4: Simplify right side
    7,143.45x = 23,719,835.78
  5. Step 5: Solve for x
    x = 23,719,835.78/7,143.45
  6. Step 6: Final answer
    x = 3,320.50

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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.