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Finding the Fourth Proportional to 7,604.60, 11,410.54 and 3,706.88

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Solution

The fourth proportional to 7,604.60, 11,410.54 and 3,706.88 is: 5,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.60 : 11,410.54 = 3,706.88 : x
  2. Step 2: Convert to fraction form
    7,604.60/11,410.54 = 3,706.88/x
  3. Step 3: Cross multiply
    7,604.60x = 11,410.54 × 3,706.88
  4. Step 4: Simplify right side
    7,604.60x = 42,297,436.20
  5. Step 5: Solve for x
    x = 42,297,436.20/7,604.60
  6. Step 6: Final answer
    x = 5,562.09

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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.