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Finding the Fourth Proportional to 6,716.51, 10,076.78 and 2,711.84

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Solution

The fourth proportional to 6,716.51, 10,076.78 and 2,711.84 is: 4,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.51 : 10,076.78 = 2,711.84 : x
  2. Step 2: Convert to fraction form
    6,716.51/10,076.78 = 2,711.84/x
  3. Step 3: Cross multiply
    6,716.51x = 10,076.78 × 2,711.84
  4. Step 4: Simplify right side
    6,716.51x = 27,326,571.47
  5. Step 5: Solve for x
    x = 27,326,571.47/6,716.51
  6. Step 6: Final answer
    x = 4,068.57

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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.