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Finding the Fourth Proportional to 7,478.36, 11,209.32 and 3,093.44

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Solution

The fourth proportional to 7,478.36, 11,209.32 and 3,093.44 is: 4,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.36 : 11,209.32 = 3,093.44 : x
  2. Step 2: Convert to fraction form
    7,478.36/11,209.32 = 3,093.44/x
  3. Step 3: Cross multiply
    7,478.36x = 11,209.32 × 3,093.44
  4. Step 4: Simplify right side
    7,478.36x = 34,675,358.86
  5. Step 5: Solve for x
    x = 34,675,358.86/7,478.36
  6. Step 6: Final answer
    x = 4,636.76

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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.