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Finding the Fourth Proportional to 7,447.74, 11,171.88 and 2,517

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Solution

The fourth proportional to 7,447.74, 11,171.88 and 2,517 is: 3,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.74 : 11,171.88 = 2,517 : x
  2. Step 2: Convert to fraction form
    7,447.74/11,171.88 = 2,517/x
  3. Step 3: Cross multiply
    7,447.74x = 11,171.88 × 2,517
  4. Step 4: Simplify right side
    7,447.74x = 28,119,621.96
  5. Step 5: Solve for x
    x = 28,119,621.96/7,447.74
  6. Step 6: Final answer
    x = 3,775.59

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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.