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Finding the Fourth Proportional to 7,716.84, 11,550.02 and 4,198.07

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Solution

The fourth proportional to 7,716.84, 11,550.02 and 4,198.07 is: 6,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.84 : 11,550.02 = 4,198.07 : x
  2. Step 2: Convert to fraction form
    7,716.84/11,550.02 = 4,198.07/x
  3. Step 3: Cross multiply
    7,716.84x = 11,550.02 × 4,198.07
  4. Step 4: Simplify right side
    7,716.84x = 48,487,713.72
  5. Step 5: Solve for x
    x = 48,487,713.72/7,716.84
  6. Step 6: Final answer
    x = 6,283.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.