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Finding the Fourth Proportional to 7,133.93, 9,844.86 and 4,151.79

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Solution

The fourth proportional to 7,133.93, 9,844.86 and 4,151.79 is: 5,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.93 : 9,844.86 = 4,151.79 : x
  2. Step 2: Convert to fraction form
    7,133.93/9,844.86 = 4,151.79/x
  3. Step 3: Cross multiply
    7,133.93x = 9,844.86 × 4,151.79
  4. Step 4: Simplify right side
    7,133.93x = 40,873,791.30
  5. Step 5: Solve for x
    x = 40,873,791.30/7,133.93
  6. Step 6: Final answer
    x = 5,729.49

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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.