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Finding the Fourth Proportional to 7,461.14, 11,191.95 and 2,267

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Solution

The fourth proportional to 7,461.14, 11,191.95 and 2,267 is: 3,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.14 : 11,191.95 = 2,267 : x
  2. Step 2: Convert to fraction form
    7,461.14/11,191.95 = 2,267/x
  3. Step 3: Cross multiply
    7,461.14x = 11,191.95 × 2,267
  4. Step 4: Simplify right side
    7,461.14x = 25,372,150.65
  5. Step 5: Solve for x
    x = 25,372,150.65/7,461.14
  6. Step 6: Final answer
    x = 3,400.57

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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.