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Finding the Fourth Proportional to 7,765.82, 10,704.38 and 5,247.12

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Solution

The fourth proportional to 7,765.82, 10,704.38 and 5,247.12 is: 7,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.82 : 10,704.38 = 5,247.12 : x
  2. Step 2: Convert to fraction form
    7,765.82/10,704.38 = 5,247.12/x
  3. Step 3: Cross multiply
    7,765.82x = 10,704.38 × 5,247.12
  4. Step 4: Simplify right side
    7,765.82x = 56,167,140.15
  5. Step 5: Solve for x
    x = 56,167,140.15/7,765.82
  6. Step 6: Final answer
    x = 7,232.61

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Why These Related Problems?

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