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Finding the Fourth Proportional to 7,504.80, 11,255.40 and 2,309.52

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Solution

The fourth proportional to 7,504.80, 11,255.40 and 2,309.52 is: 3,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.80 : 11,255.40 = 2,309.52 : x
  2. Step 2: Convert to fraction form
    7,504.80/11,255.40 = 2,309.52/x
  3. Step 3: Cross multiply
    7,504.80x = 11,255.40 × 2,309.52
  4. Step 4: Simplify right side
    7,504.80x = 25,994,571.41
  5. Step 5: Solve for x
    x = 25,994,571.41/7,504.80
  6. Step 6: Final answer
    x = 3,463.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.