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Finding the Fourth Proportional to 7,324.79, 10,109.75 and 5,844.38

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Solution

The fourth proportional to 7,324.79, 10,109.75 and 5,844.38 is: 8,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.79 : 10,109.75 = 5,844.38 : x
  2. Step 2: Convert to fraction form
    7,324.79/10,109.75 = 5,844.38/x
  3. Step 3: Cross multiply
    7,324.79x = 10,109.75 × 5,844.38
  4. Step 4: Simplify right side
    7,324.79x = 59,085,140.93
  5. Step 5: Solve for x
    x = 59,085,140.93/7,324.79
  6. Step 6: Final answer
    x = 8,066.47

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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.