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Finding the Fourth Proportional to 7,489.86, 11,236.23 and 2,872.50

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Solution

The fourth proportional to 7,489.86, 11,236.23 and 2,872.50 is: 4,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.86 : 11,236.23 = 2,872.50 : x
  2. Step 2: Convert to fraction form
    7,489.86/11,236.23 = 2,872.50/x
  3. Step 3: Cross multiply
    7,489.86x = 11,236.23 × 2,872.50
  4. Step 4: Simplify right side
    7,489.86x = 32,276,070.68
  5. Step 5: Solve for x
    x = 32,276,070.68/7,489.86
  6. Step 6: Final answer
    x = 4,309.30

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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.