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Finding the Fourth Proportional to 7,698.80, 11,548.94 and 3,539.97

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Solution

The fourth proportional to 7,698.80, 11,548.94 and 3,539.97 is: 5,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.80 : 11,548.94 = 3,539.97 : x
  2. Step 2: Convert to fraction form
    7,698.80/11,548.94 = 3,539.97/x
  3. Step 3: Cross multiply
    7,698.80x = 11,548.94 × 3,539.97
  4. Step 4: Simplify right side
    7,698.80x = 40,882,837.20
  5. Step 5: Solve for x
    x = 40,882,837.20/7,698.80
  6. Step 6: Final answer
    x = 5,310.29

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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.