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Finding the Fourth Proportional to 8,716.05, 12,039.71 and 6,851.16

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Solution

The fourth proportional to 8,716.05, 12,039.71 and 6,851.16 is: 9,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716.05 : 12,039.71 = 6,851.16 : x
  2. Step 2: Convert to fraction form
    8,716.05/12,039.71 = 6,851.16/x
  3. Step 3: Cross multiply
    8,716.05x = 12,039.71 × 6,851.16
  4. Step 4: Simplify right side
    8,716.05x = 82,485,945.31
  5. Step 5: Solve for x
    x = 82,485,945.31/8,716.05
  6. Step 6: Final answer
    x = 9,463.68

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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.