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Finding the Fourth Proportional to 7,765.94, 10,716.45 and 4,408.82

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Solution

The fourth proportional to 7,765.94, 10,716.45 and 4,408.82 is: 6,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.94 : 10,716.45 = 4,408.82 : x
  2. Step 2: Convert to fraction form
    7,765.94/10,716.45 = 4,408.82/x
  3. Step 3: Cross multiply
    7,765.94x = 10,716.45 × 4,408.82
  4. Step 4: Simplify right side
    7,765.94x = 47,246,899.09
  5. Step 5: Solve for x
    x = 47,246,899.09/7,765.94
  6. Step 6: Final answer
    x = 6,083.86

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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.