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Finding the Fourth Proportional to 7,406.84, 11,114.92 and 5,401.79

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Solution

The fourth proportional to 7,406.84, 11,114.92 and 5,401.79 is: 8,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.84 : 11,114.92 = 5,401.79 : x
  2. Step 2: Convert to fraction form
    7,406.84/11,114.92 = 5,401.79/x
  3. Step 3: Cross multiply
    7,406.84x = 11,114.92 × 5,401.79
  4. Step 4: Simplify right side
    7,406.84x = 60,040,456.57
  5. Step 5: Solve for x
    x = 60,040,456.57/7,406.84
  6. Step 6: Final answer
    x = 8,106.08

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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.