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Finding the Fourth Proportional to 7,992.84, 11,986.83 and 2,797.50

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Solution

The fourth proportional to 7,992.84, 11,986.83 and 2,797.50 is: 4,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.84 : 11,986.83 = 2,797.50 : x
  2. Step 2: Convert to fraction form
    7,992.84/11,986.83 = 2,797.50/x
  3. Step 3: Cross multiply
    7,992.84x = 11,986.83 × 2,797.50
  4. Step 4: Simplify right side
    7,992.84x = 33,533,156.93
  5. Step 5: Solve for x
    x = 33,533,156.93/7,992.84
  6. Step 6: Final answer
    x = 4,195.40

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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.