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Finding the Fourth Proportional to 7,381.14, 11,073.24 and 3,483.42

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Solution

The fourth proportional to 7,381.14, 11,073.24 and 3,483.42 is: 5,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.14 : 11,073.24 = 3,483.42 : x
  2. Step 2: Convert to fraction form
    7,381.14/11,073.24 = 3,483.42/x
  3. Step 3: Cross multiply
    7,381.14x = 11,073.24 × 3,483.42
  4. Step 4: Simplify right side
    7,381.14x = 38,572,745.68
  5. Step 5: Solve for x
    x = 38,572,745.68/7,381.14
  6. Step 6: Final answer
    x = 5,225.85

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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.