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Finding the Fourth Proportional to 7,186.94, 10,776.75 and 3,288

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Solution

The fourth proportional to 7,186.94, 10,776.75 and 3,288 is: 4,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.94 : 10,776.75 = 3,288 : x
  2. Step 2: Convert to fraction form
    7,186.94/10,776.75 = 3,288/x
  3. Step 3: Cross multiply
    7,186.94x = 10,776.75 × 3,288
  4. Step 4: Simplify right side
    7,186.94x = 35,433,954
  5. Step 5: Solve for x
    x = 35,433,954/7,186.94
  6. Step 6: Final answer
    x = 4,930.33

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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.