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Finding the Fourth Proportional to 7,492.70, 11,241.28 and 2,227.87

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Solution

The fourth proportional to 7,492.70, 11,241.28 and 2,227.87 is: 3,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.70 : 11,241.28 = 2,227.87 : x
  2. Step 2: Convert to fraction form
    7,492.70/11,241.28 = 2,227.87/x
  3. Step 3: Cross multiply
    7,492.70x = 11,241.28 × 2,227.87
  4. Step 4: Simplify right side
    7,492.70x = 25,044,127.31
  5. Step 5: Solve for x
    x = 25,044,127.31/7,492.70
  6. Step 6: Final answer
    x = 3,342.47

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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.