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Finding the Fourth Proportional to 7,314.50, 10,975.70 and 4,850.48

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Solution

The fourth proportional to 7,314.50, 10,975.70 and 4,850.48 is: 7,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.50 : 10,975.70 = 4,850.48 : x
  2. Step 2: Convert to fraction form
    7,314.50/10,975.70 = 4,850.48/x
  3. Step 3: Cross multiply
    7,314.50x = 10,975.70 × 4,850.48
  4. Step 4: Simplify right side
    7,314.50x = 53,237,452.90
  5. Step 5: Solve for x
    x = 53,237,452.90/7,314.50
  6. Step 6: Final answer
    x = 7,278.34

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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.