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Finding the Fourth Proportional to 7,604.36, 11,388.16 and 5,847.20

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Solution

The fourth proportional to 7,604.36, 11,388.16 and 5,847.20 is: 8,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.36 : 11,388.16 = 5,847.20 : x
  2. Step 2: Convert to fraction form
    7,604.36/11,388.16 = 5,847.20/x
  3. Step 3: Cross multiply
    7,604.36x = 11,388.16 × 5,847.20
  4. Step 4: Simplify right side
    7,604.36x = 66,588,849.15
  5. Step 5: Solve for x
    x = 66,588,849.15/7,604.36
  6. Step 6: Final answer
    x = 8,756.67

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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.