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Finding the Fourth Proportional to 8,504.75, 12,694.69 and 7,878.51

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Solution

The fourth proportional to 8,504.75, 12,694.69 and 7,878.51 is: 11,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.75 : 12,694.69 = 7,878.51 : x
  2. Step 2: Convert to fraction form
    8,504.75/12,694.69 = 7,878.51/x
  3. Step 3: Cross multiply
    8,504.75x = 12,694.69 × 7,878.51
  4. Step 4: Simplify right side
    8,504.75x = 100,015,178.64
  5. Step 5: Solve for x
    x = 100,015,178.64/8,504.75
  6. Step 6: Final answer
    x = 11,759.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.