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Finding the Fourth Proportional to 7,461, 11,193.94 and 2,266.88

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Solution

The fourth proportional to 7,461, 11,193.94 and 2,266.88 is: 3,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461 : 11,193.94 = 2,266.88 : x
  2. Step 2: Convert to fraction form
    7,461/11,193.94 = 2,266.88/x
  3. Step 3: Cross multiply
    7,461x = 11,193.94 × 2,266.88
  4. Step 4: Simplify right side
    7,461x = 25,375,318.71
  5. Step 5: Solve for x
    x = 25,375,318.71/7,461
  6. Step 6: Final answer
    x = 3,401.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.