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Finding the Fourth Proportional to 7,980.53, 11,969.82 and 2,137.59

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Solution

The fourth proportional to 7,980.53, 11,969.82 and 2,137.59 is: 3,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.53 : 11,969.82 = 2,137.59 : x
  2. Step 2: Convert to fraction form
    7,980.53/11,969.82 = 2,137.59/x
  3. Step 3: Cross multiply
    7,980.53x = 11,969.82 × 2,137.59
  4. Step 4: Simplify right side
    7,980.53x = 25,586,567.53
  5. Step 5: Solve for x
    x = 25,586,567.53/7,980.53
  6. Step 6: Final answer
    x = 3,206.13

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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.