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Finding the Fourth Proportional to 7,493.50, 11,240.79 and 2,876.50

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Solution

The fourth proportional to 7,493.50, 11,240.79 and 2,876.50 is: 4,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.50 : 11,240.79 = 2,876.50 : x
  2. Step 2: Convert to fraction form
    7,493.50/11,240.79 = 2,876.50/x
  3. Step 3: Cross multiply
    7,493.50x = 11,240.79 × 2,876.50
  4. Step 4: Simplify right side
    7,493.50x = 32,334,132.44
  5. Step 5: Solve for x
    x = 32,334,132.44/7,493.50
  6. Step 6: Final answer
    x = 4,314.96

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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.