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Finding the Fourth Proportional to 7,477, 11,207.56 and 2,794.04

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Solution

The fourth proportional to 7,477, 11,207.56 and 2,794.04 is: 4,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477 : 11,207.56 = 2,794.04 : x
  2. Step 2: Convert to fraction form
    7,477/11,207.56 = 2,794.04/x
  3. Step 3: Cross multiply
    7,477x = 11,207.56 × 2,794.04
  4. Step 4: Simplify right side
    7,477x = 31,314,370.94
  5. Step 5: Solve for x
    x = 31,314,370.94/7,477
  6. Step 6: Final answer
    x = 4,188.09

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