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Finding the Fourth Proportional to 7,145.89, 10,716.30 and 2,983.70

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Solution

The fourth proportional to 7,145.89, 10,716.30 and 2,983.70 is: 4,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.89 : 10,716.30 = 2,983.70 : x
  2. Step 2: Convert to fraction form
    7,145.89/10,716.30 = 2,983.70/x
  3. Step 3: Cross multiply
    7,145.89x = 10,716.30 × 2,983.70
  4. Step 4: Simplify right side
    7,145.89x = 31,974,251.10
  5. Step 5: Solve for x
    x = 31,974,251.10/7,145.89
  6. Step 6: Final answer
    x = 4,474.50

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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.