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Finding the Fourth Proportional to 7,694.87, 11,538.09 and 5,196.02

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Solution

The fourth proportional to 7,694.87, 11,538.09 and 5,196.02 is: 7,791.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.87 : 11,538.09 = 5,196.02 : x
  2. Step 2: Convert to fraction form
    7,694.87/11,538.09 = 5,196.02/x
  3. Step 3: Cross multiply
    7,694.87x = 11,538.09 × 5,196.02
  4. Step 4: Simplify right side
    7,694.87x = 59,952,088.71
  5. Step 5: Solve for x
    x = 59,952,088.71/7,694.87
  6. Step 6: Final answer
    x = 7,791.18

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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.