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Finding the Fourth Proportional to 6,980.49, 10,472.36 and 3,086.01

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Solution

The fourth proportional to 6,980.49, 10,472.36 and 3,086.01 is: 4,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.49 : 10,472.36 = 3,086.01 : x
  2. Step 2: Convert to fraction form
    6,980.49/10,472.36 = 3,086.01/x
  3. Step 3: Cross multiply
    6,980.49x = 10,472.36 × 3,086.01
  4. Step 4: Simplify right side
    6,980.49x = 32,317,792.25
  5. Step 5: Solve for x
    x = 32,317,792.25/6,980.49
  6. Step 6: Final answer
    x = 4,629.73

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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.