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Finding the Fourth Proportional to 7,716.50, 10,653.36 and 5,850.26

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Solution

The fourth proportional to 7,716.50, 10,653.36 and 5,850.26 is: 8,076.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.50 : 10,653.36 = 5,850.26 : x
  2. Step 2: Convert to fraction form
    7,716.50/10,653.36 = 5,850.26/x
  3. Step 3: Cross multiply
    7,716.50x = 10,653.36 × 5,850.26
  4. Step 4: Simplify right side
    7,716.50x = 62,324,925.87
  5. Step 5: Solve for x
    x = 62,324,925.87/7,716.50
  6. Step 6: Final answer
    x = 8,076.84

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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.