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Finding the Fourth Proportional to 7,461.86, 11,193.42 and 2,267.78

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Solution

The fourth proportional to 7,461.86, 11,193.42 and 2,267.78 is: 3,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.86 : 11,193.42 = 2,267.78 : x
  2. Step 2: Convert to fraction form
    7,461.86/11,193.42 = 2,267.78/x
  3. Step 3: Cross multiply
    7,461.86x = 11,193.42 × 2,267.78
  4. Step 4: Simplify right side
    7,461.86x = 25,384,214.01
  5. Step 5: Solve for x
    x = 25,384,214.01/7,461.86
  6. Step 6: Final answer
    x = 3,401.86

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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.