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Finding the Fourth Proportional to 7,493.04, 11,241.16 and 2,876

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Solution

The fourth proportional to 7,493.04, 11,241.16 and 2,876 is: 4,314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.04 : 11,241.16 = 2,876 : x
  2. Step 2: Convert to fraction form
    7,493.04/11,241.16 = 2,876/x
  3. Step 3: Cross multiply
    7,493.04x = 11,241.16 × 2,876
  4. Step 4: Simplify right side
    7,493.04x = 32,329,576.16
  5. Step 5: Solve for x
    x = 32,329,576.16/7,493.04
  6. Step 6: Final answer
    x = 4,314.61

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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.