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Finding the Fourth Proportional to 7,310.88, 10,970.96 and 3,850.56

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Solution

The fourth proportional to 7,310.88, 10,970.96 and 3,850.56 is: 5,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.88 : 10,970.96 = 3,850.56 : x
  2. Step 2: Convert to fraction form
    7,310.88/10,970.96 = 3,850.56/x
  3. Step 3: Cross multiply
    7,310.88x = 10,970.96 × 3,850.56
  4. Step 4: Simplify right side
    7,310.88x = 42,244,339.74
  5. Step 5: Solve for x
    x = 42,244,339.74/7,310.88
  6. Step 6: Final answer
    x = 5,778.28

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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.