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Finding the Fourth Proportional to 7,460.66, 11,192.61 and 2,266.94

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Solution

The fourth proportional to 7,460.66, 11,192.61 and 2,266.94 is: 3,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.66 : 11,192.61 = 2,266.94 : x
  2. Step 2: Convert to fraction form
    7,460.66/11,192.61 = 2,266.94/x
  3. Step 3: Cross multiply
    7,460.66x = 11,192.61 × 2,266.94
  4. Step 4: Simplify right side
    7,460.66x = 25,372,919.35
  5. Step 5: Solve for x
    x = 25,372,919.35/7,460.66
  6. Step 6: Final answer
    x = 3,400.90

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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.