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Finding the Fourth Proportional to 7,213.74, 10,814.12 and 2,595.66

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Solution

The fourth proportional to 7,213.74, 10,814.12 and 2,595.66 is: 3,891.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.74 : 10,814.12 = 2,595.66 : x
  2. Step 2: Convert to fraction form
    7,213.74/10,814.12 = 2,595.66/x
  3. Step 3: Cross multiply
    7,213.74x = 10,814.12 × 2,595.66
  4. Step 4: Simplify right side
    7,213.74x = 28,069,765.74
  5. Step 5: Solve for x
    x = 28,069,765.74/7,213.74
  6. Step 6: Final answer
    x = 3,891.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.