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Finding the Fourth Proportional to 7,850.26, 10,833.78 and 4,313.80

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Solution

The fourth proportional to 7,850.26, 10,833.78 and 4,313.80 is: 5,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.26 : 10,833.78 = 4,313.80 : x
  2. Step 2: Convert to fraction form
    7,850.26/10,833.78 = 4,313.80/x
  3. Step 3: Cross multiply
    7,850.26x = 10,833.78 × 4,313.80
  4. Step 4: Simplify right side
    7,850.26x = 46,734,760.16
  5. Step 5: Solve for x
    x = 46,734,760.16/7,850.26
  6. Step 6: Final answer
    x = 5,953.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.