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Finding the Fourth Proportional to 7,771.69, 11,601.14 and 7,193.49

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Solution

The fourth proportional to 7,771.69, 11,601.14 and 7,193.49 is: 10,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.69 : 11,601.14 = 7,193.49 : x
  2. Step 2: Convert to fraction form
    7,771.69/11,601.14 = 7,193.49/x
  3. Step 3: Cross multiply
    7,771.69x = 11,601.14 × 7,193.49
  4. Step 4: Simplify right side
    7,771.69x = 83,452,684.58
  5. Step 5: Solve for x
    x = 83,452,684.58/7,771.69
  6. Step 6: Final answer
    x = 10,738.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.