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Finding the Fourth Proportional to 7,162.64, 10,742.52 and 2,231.48

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Solution

The fourth proportional to 7,162.64, 10,742.52 and 2,231.48 is: 3,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.64 : 10,742.52 = 2,231.48 : x
  2. Step 2: Convert to fraction form
    7,162.64/10,742.52 = 2,231.48/x
  3. Step 3: Cross multiply
    7,162.64x = 10,742.52 × 2,231.48
  4. Step 4: Simplify right side
    7,162.64x = 23,971,718.53
  5. Step 5: Solve for x
    x = 23,971,718.53/7,162.64
  6. Step 6: Final answer
    x = 3,346.77

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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.