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Finding the Fourth Proportional to 7,669.54, 11,489.27 and 3,974.19

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Solution

The fourth proportional to 7,669.54, 11,489.27 and 3,974.19 is: 5,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.54 : 11,489.27 = 3,974.19 : x
  2. Step 2: Convert to fraction form
    7,669.54/11,489.27 = 3,974.19/x
  3. Step 3: Cross multiply
    7,669.54x = 11,489.27 × 3,974.19
  4. Step 4: Simplify right side
    7,669.54x = 45,660,522.48
  5. Step 5: Solve for x
    x = 45,660,522.48/7,669.54
  6. Step 6: Final answer
    x = 5,953.49

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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.