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Finding the Fourth Proportional to 7,765.20, 10,709.10 and 6,272.64

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Solution

The fourth proportional to 7,765.20, 10,709.10 and 6,272.64 is: 8,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.20 : 10,709.10 = 6,272.64 : x
  2. Step 2: Convert to fraction form
    7,765.20/10,709.10 = 6,272.64/x
  3. Step 3: Cross multiply
    7,765.20x = 10,709.10 × 6,272.64
  4. Step 4: Simplify right side
    7,765.20x = 67,174,329.02
  5. Step 5: Solve for x
    x = 67,174,329.02/7,765.20
  6. Step 6: Final answer
    x = 8,650.69

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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.