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Finding the Fourth Proportional to 7,924.26, 10,935.03 and 4,387.38

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Solution

The fourth proportional to 7,924.26, 10,935.03 and 4,387.38 is: 6,054.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.26 : 10,935.03 = 4,387.38 : x
  2. Step 2: Convert to fraction form
    7,924.26/10,935.03 = 4,387.38/x
  3. Step 3: Cross multiply
    7,924.26x = 10,935.03 × 4,387.38
  4. Step 4: Simplify right side
    7,924.26x = 47,976,131.92
  5. Step 5: Solve for x
    x = 47,976,131.92/7,924.26
  6. Step 6: Final answer
    x = 6,054.34

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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.