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Finding the Fourth Proportional to 7,401.08, 11,102.70 and 2,207

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Solution

The fourth proportional to 7,401.08, 11,102.70 and 2,207 is: 3,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.08 : 11,102.70 = 2,207 : x
  2. Step 2: Convert to fraction form
    7,401.08/11,102.70 = 2,207/x
  3. Step 3: Cross multiply
    7,401.08x = 11,102.70 × 2,207
  4. Step 4: Simplify right side
    7,401.08x = 24,503,658.90
  5. Step 5: Solve for x
    x = 24,503,658.90/7,401.08
  6. Step 6: Final answer
    x = 3,310.82

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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.