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Finding the Fourth Proportional to 7,600.32, 11,399.76 and 2,406.24

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Solution

The fourth proportional to 7,600.32, 11,399.76 and 2,406.24 is: 3,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.32 : 11,399.76 = 2,406.24 : x
  2. Step 2: Convert to fraction form
    7,600.32/11,399.76 = 2,406.24/x
  3. Step 3: Cross multiply
    7,600.32x = 11,399.76 × 2,406.24
  4. Step 4: Simplify right side
    7,600.32x = 27,430,558.50
  5. Step 5: Solve for x
    x = 27,430,558.50/7,600.32
  6. Step 6: Final answer
    x = 3,609.13

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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.