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Finding the Fourth Proportional to 7,163.66, 10,742.92 and 2,482.40

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Solution

The fourth proportional to 7,163.66, 10,742.92 and 2,482.40 is: 3,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.66 : 10,742.92 = 2,482.40 : x
  2. Step 2: Convert to fraction form
    7,163.66/10,742.92 = 2,482.40/x
  3. Step 3: Cross multiply
    7,163.66x = 10,742.92 × 2,482.40
  4. Step 4: Simplify right side
    7,163.66x = 26,668,245.26
  5. Step 5: Solve for x
    x = 26,668,245.26/7,163.66
  6. Step 6: Final answer
    x = 3,722.71

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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.