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Finding the Fourth Proportional to 7,689.36, 10,613.29 and 5,007.27

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Solution

The fourth proportional to 7,689.36, 10,613.29 and 5,007.27 is: 6,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.36 : 10,613.29 = 5,007.27 : x
  2. Step 2: Convert to fraction form
    7,689.36/10,613.29 = 5,007.27/x
  3. Step 3: Cross multiply
    7,689.36x = 10,613.29 × 5,007.27
  4. Step 4: Simplify right side
    7,689.36x = 53,143,608.62
  5. Step 5: Solve for x
    x = 53,143,608.62/7,689.36
  6. Step 6: Final answer
    x = 6,911.32

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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.