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Finding the Fourth Proportional to 7,184.72, 10,777 and 2,504.80

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Solution

The fourth proportional to 7,184.72, 10,777 and 2,504.80 is: 3,757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.72 : 10,777 = 2,504.80 : x
  2. Step 2: Convert to fraction form
    7,184.72/10,777 = 2,504.80/x
  3. Step 3: Cross multiply
    7,184.72x = 10,777 × 2,504.80
  4. Step 4: Simplify right side
    7,184.72x = 26,994,229.60
  5. Step 5: Solve for x
    x = 26,994,229.60/7,184.72
  6. Step 6: Final answer
    x = 3,757.17

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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.