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Finding the Fourth Proportional to 7,288, 10,933.85 and 2,093.88

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Solution

The fourth proportional to 7,288, 10,933.85 and 2,093.88 is: 3,141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288 : 10,933.85 = 2,093.88 : x
  2. Step 2: Convert to fraction form
    7,288/10,933.85 = 2,093.88/x
  3. Step 3: Cross multiply
    7,288x = 10,933.85 × 2,093.88
  4. Step 4: Simplify right side
    7,288x = 22,894,169.84
  5. Step 5: Solve for x
    x = 22,894,169.84/7,288
  6. Step 6: Final answer
    x = 3,141.35

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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.