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Finding the Fourth Proportional to 7,604.12, 11,404.20 and 3,219.32

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Solution

The fourth proportional to 7,604.12, 11,404.20 and 3,219.32 is: 4,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.12 : 11,404.20 = 3,219.32 : x
  2. Step 2: Convert to fraction form
    7,604.12/11,404.20 = 3,219.32/x
  3. Step 3: Cross multiply
    7,604.12x = 11,404.20 × 3,219.32
  4. Step 4: Simplify right side
    7,604.12x = 36,713,769.14
  5. Step 5: Solve for x
    x = 36,713,769.14/7,604.12
  6. Step 6: Final answer
    x = 4,828.14

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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.