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Finding the Fourth Proportional to 6,982.49, 10,477.50 and 5,425.62

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Solution

The fourth proportional to 6,982.49, 10,477.50 and 5,425.62 is: 8,141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.49 : 10,477.50 = 5,425.62 : x
  2. Step 2: Convert to fraction form
    6,982.49/10,477.50 = 5,425.62/x
  3. Step 3: Cross multiply
    6,982.49x = 10,477.50 × 5,425.62
  4. Step 4: Simplify right side
    6,982.49x = 56,846,914.30
  5. Step 5: Solve for x
    x = 56,846,914.30/6,982.49
  6. Step 6: Final answer
    x = 8,141.35

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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.