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Finding the Fourth Proportional to 7,765.28, 10,716.52 and 4,228.42

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Solution

The fourth proportional to 7,765.28, 10,716.52 and 4,228.42 is: 5,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.28 : 10,716.52 = 4,228.42 : x
  2. Step 2: Convert to fraction form
    7,765.28/10,716.52 = 4,228.42/x
  3. Step 3: Cross multiply
    7,765.28x = 10,716.52 × 4,228.42
  4. Step 4: Simplify right side
    7,765.28x = 45,313,947.50
  5. Step 5: Solve for x
    x = 45,313,947.50/7,765.28
  6. Step 6: Final answer
    x = 5,835.46

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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.