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Finding the Fourth Proportional to 7,604.14, 11,401.54 and 2,674.34

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Solution

The fourth proportional to 7,604.14, 11,401.54 and 2,674.34 is: 4,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.14 : 11,401.54 = 2,674.34 : x
  2. Step 2: Convert to fraction form
    7,604.14/11,401.54 = 2,674.34/x
  3. Step 3: Cross multiply
    7,604.14x = 11,401.54 × 2,674.34
  4. Step 4: Simplify right side
    7,604.14x = 30,491,594.48
  5. Step 5: Solve for x
    x = 30,491,594.48/7,604.14
  6. Step 6: Final answer
    x = 4,009.87

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