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Finding the Fourth Proportional to 7,505.94, 11,255.49 and 3,120.78

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Solution

The fourth proportional to 7,505.94, 11,255.49 and 3,120.78 is: 4,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.94 : 11,255.49 = 3,120.78 : x
  2. Step 2: Convert to fraction form
    7,505.94/11,255.49 = 3,120.78/x
  3. Step 3: Cross multiply
    7,505.94x = 11,255.49 × 3,120.78
  4. Step 4: Simplify right side
    7,505.94x = 35,125,908.08
  5. Step 5: Solve for x
    x = 35,125,908.08/7,505.94
  6. Step 6: Final answer
    x = 4,679.75

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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.