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Finding the Fourth Proportional to 7,309.26, 10,086.93 and 4,165.38

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Solution

The fourth proportional to 7,309.26, 10,086.93 and 4,165.38 is: 5,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.26 : 10,086.93 = 4,165.38 : x
  2. Step 2: Convert to fraction form
    7,309.26/10,086.93 = 4,165.38/x
  3. Step 3: Cross multiply
    7,309.26x = 10,086.93 × 4,165.38
  4. Step 4: Simplify right side
    7,309.26x = 42,015,896.48
  5. Step 5: Solve for x
    x = 42,015,896.48/7,309.26
  6. Step 6: Final answer
    x = 5,748.31

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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.