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Finding the Fourth Proportional to 7,460.86, 11,191.92 and 2,266.78

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Solution

The fourth proportional to 7,460.86, 11,191.92 and 2,266.78 is: 3,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.86 : 11,191.92 = 2,266.78 : x
  2. Step 2: Convert to fraction form
    7,460.86/11,191.92 = 2,266.78/x
  3. Step 3: Cross multiply
    7,460.86x = 11,191.92 × 2,266.78
  4. Step 4: Simplify right side
    7,460.86x = 25,369,620.42
  5. Step 5: Solve for x
    x = 25,369,620.42/7,460.86
  6. Step 6: Final answer
    x = 3,400.36

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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.