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Finding the Fourth Proportional to 7,668.27, 11,502 and 2,403.23

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Solution

The fourth proportional to 7,668.27, 11,502 and 2,403.23 is: 3,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.27 : 11,502 = 2,403.23 : x
  2. Step 2: Convert to fraction form
    7,668.27/11,502 = 2,403.23/x
  3. Step 3: Cross multiply
    7,668.27x = 11,502 × 2,403.23
  4. Step 4: Simplify right side
    7,668.27x = 27,641,893.95
  5. Step 5: Solve for x
    x = 27,641,893.95/7,668.27
  6. Step 6: Final answer
    x = 3,604.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.