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Finding the Fourth Proportional to 7,421.46, 11,122.46 and 3,033.90

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Solution

The fourth proportional to 7,421.46, 11,122.46 and 3,033.90 is: 4,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.46 : 11,122.46 = 3,033.90 : x
  2. Step 2: Convert to fraction form
    7,421.46/11,122.46 = 3,033.90/x
  3. Step 3: Cross multiply
    7,421.46x = 11,122.46 × 3,033.90
  4. Step 4: Simplify right side
    7,421.46x = 33,744,431.39
  5. Step 5: Solve for x
    x = 33,744,431.39/7,421.46
  6. Step 6: Final answer
    x = 4,546.87

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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.