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Finding the Fourth Proportional to 7,483.96, 11,234.15 and 3,104.50

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Solution

The fourth proportional to 7,483.96, 11,234.15 and 3,104.50 is: 4,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483.96 : 11,234.15 = 3,104.50 : x
  2. Step 2: Convert to fraction form
    7,483.96/11,234.15 = 3,104.50/x
  3. Step 3: Cross multiply
    7,483.96x = 11,234.15 × 3,104.50
  4. Step 4: Simplify right side
    7,483.96x = 34,876,418.68
  5. Step 5: Solve for x
    x = 34,876,418.68/7,483.96
  6. Step 6: Final answer
    x = 4,660.16

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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.