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Finding the Fourth Proportional to 7,214, 10,814.52 and 2,595.92

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Solution

The fourth proportional to 7,214, 10,814.52 and 2,595.92 is: 3,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214 : 10,814.52 = 2,595.92 : x
  2. Step 2: Convert to fraction form
    7,214/10,814.52 = 2,595.92/x
  3. Step 3: Cross multiply
    7,214x = 10,814.52 × 2,595.92
  4. Step 4: Simplify right side
    7,214x = 28,073,628.76
  5. Step 5: Solve for x
    x = 28,073,628.76/7,214
  6. Step 6: Final answer
    x = 3,891.55

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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.