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Finding the Fourth Proportional to 7,850.34, 10,833.39 and 4,313.46

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Solution

The fourth proportional to 7,850.34, 10,833.39 and 4,313.46 is: 5,952.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.34 : 10,833.39 = 4,313.46 : x
  2. Step 2: Convert to fraction form
    7,850.34/10,833.39 = 4,313.46/x
  3. Step 3: Cross multiply
    7,850.34x = 10,833.39 × 4,313.46
  4. Step 4: Simplify right side
    7,850.34x = 46,729,394.43
  5. Step 5: Solve for x
    x = 46,729,394.43/7,850.34
  6. Step 6: Final answer
    x = 5,952.53

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Why These Related Problems?

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