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Finding the Fourth Proportional to 7,688.84, 11,504.09 and 4,759.88

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Solution

The fourth proportional to 7,688.84, 11,504.09 and 4,759.88 is: 7,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.84 : 11,504.09 = 4,759.88 : x
  2. Step 2: Convert to fraction form
    7,688.84/11,504.09 = 4,759.88/x
  3. Step 3: Cross multiply
    7,688.84x = 11,504.09 × 4,759.88
  4. Step 4: Simplify right side
    7,688.84x = 54,758,087.91
  5. Step 5: Solve for x
    x = 54,758,087.91/7,688.84
  6. Step 6: Final answer
    x = 7,121.76

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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.