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Finding the Fourth Proportional to 7,749.64, 10,697.78 and 5,235.16

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Solution

The fourth proportional to 7,749.64, 10,697.78 and 5,235.16 is: 7,226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.64 : 10,697.78 = 5,235.16 : x
  2. Step 2: Convert to fraction form
    7,749.64/10,697.78 = 5,235.16/x
  3. Step 3: Cross multiply
    7,749.64x = 10,697.78 × 5,235.16
  4. Step 4: Simplify right side
    7,749.64x = 56,004,589.94
  5. Step 5: Solve for x
    x = 56,004,589.94/7,749.64
  6. Step 6: Final answer
    x = 7,226.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.