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Finding the Fourth Proportional to 7,849.78, 10,832.93 and 4,313.23

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Solution

The fourth proportional to 7,849.78, 10,832.93 and 4,313.23 is: 5,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.78 : 10,832.93 = 4,313.23 : x
  2. Step 2: Convert to fraction form
    7,849.78/10,832.93 = 4,313.23/x
  3. Step 3: Cross multiply
    7,849.78x = 10,832.93 × 4,313.23
  4. Step 4: Simplify right side
    7,849.78x = 46,724,918.66
  5. Step 5: Solve for x
    x = 46,724,918.66/7,849.78
  6. Step 6: Final answer
    x = 5,952.39

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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.