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Finding the Fourth Proportional to 7,604.76, 11,408.52 and 2,409.36

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Solution

The fourth proportional to 7,604.76, 11,408.52 and 2,409.36 is: 3,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.76 : 11,408.52 = 2,409.36 : x
  2. Step 2: Convert to fraction form
    7,604.76/11,408.52 = 2,409.36/x
  3. Step 3: Cross multiply
    7,604.76x = 11,408.52 × 2,409.36
  4. Step 4: Simplify right side
    7,604.76x = 27,487,231.75
  5. Step 5: Solve for x
    x = 27,487,231.75/7,604.76
  6. Step 6: Final answer
    x = 3,614.48

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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.