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Finding the Fourth Proportional to 7,487.54, 11,224.62 and 3,102.20

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Solution

The fourth proportional to 7,487.54, 11,224.62 and 3,102.20 is: 4,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487.54 : 11,224.62 = 3,102.20 : x
  2. Step 2: Convert to fraction form
    7,487.54/11,224.62 = 3,102.20/x
  3. Step 3: Cross multiply
    7,487.54x = 11,224.62 × 3,102.20
  4. Step 4: Simplify right side
    7,487.54x = 34,821,016.16
  5. Step 5: Solve for x
    x = 34,821,016.16/7,487.54
  6. Step 6: Final answer
    x = 4,650.53

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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.