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Finding the Fourth Proportional to 11,286.84, 16,894.80 and 7,756.20

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Solution

The fourth proportional to 11,286.84, 16,894.80 and 7,756.20 is: 11,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.84 : 16,894.80 = 7,756.20 : x
  2. Step 2: Convert to fraction form
    11,286.84/16,894.80 = 7,756.20/x
  3. Step 3: Cross multiply
    11,286.84x = 16,894.80 × 7,756.20
  4. Step 4: Simplify right side
    11,286.84x = 131,039,447.76
  5. Step 5: Solve for x
    x = 131,039,447.76/11,286.84
  6. Step 6: Final answer
    x = 11,609.93

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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.