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Finding the Fourth Proportional to 7,765.59, 10,716.57 and 4,228.79

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Solution

The fourth proportional to 7,765.59, 10,716.57 and 4,228.79 is: 5,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.59 : 10,716.57 = 4,228.79 : x
  2. Step 2: Convert to fraction form
    7,765.59/10,716.57 = 4,228.79/x
  3. Step 3: Cross multiply
    7,765.59x = 10,716.57 × 4,228.79
  4. Step 4: Simplify right side
    7,765.59x = 45,318,070.47
  5. Step 5: Solve for x
    x = 45,318,070.47/7,765.59
  6. Step 6: Final answer
    x = 5,835.75

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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.