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Finding the Fourth Proportional to 7,765.08, 11,647.64 and 3,604.56

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Solution

The fourth proportional to 7,765.08, 11,647.64 and 3,604.56 is: 5,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.08 : 11,647.64 = 3,604.56 : x
  2. Step 2: Convert to fraction form
    7,765.08/11,647.64 = 3,604.56/x
  3. Step 3: Cross multiply
    7,765.08x = 11,647.64 × 3,604.56
  4. Step 4: Simplify right side
    7,765.08x = 41,984,617.24
  5. Step 5: Solve for x
    x = 41,984,617.24/7,765.08
  6. Step 6: Final answer
    x = 5,406.85

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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.