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Finding the Fourth Proportional to 7,765.56, 10,716.64 and 4,228.77

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Solution

The fourth proportional to 7,765.56, 10,716.64 and 4,228.77 is: 5,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.56 : 10,716.64 = 4,228.77 : x
  2. Step 2: Convert to fraction form
    7,765.56/10,716.64 = 4,228.77/x
  3. Step 3: Cross multiply
    7,765.56x = 10,716.64 × 4,228.77
  4. Step 4: Simplify right side
    7,765.56x = 45,318,207.98
  5. Step 5: Solve for x
    x = 45,318,207.98/7,765.56
  6. Step 6: Final answer
    x = 5,835.79

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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.