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Finding the Fourth Proportional to 7,980.33, 11,969.58 and 3,049.86

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Solution

The fourth proportional to 7,980.33, 11,969.58 and 3,049.86 is: 4,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.33 : 11,969.58 = 3,049.86 : x
  2. Step 2: Convert to fraction form
    7,980.33/11,969.58 = 3,049.86/x
  3. Step 3: Cross multiply
    7,980.33x = 11,969.58 × 3,049.86
  4. Step 4: Simplify right side
    7,980.33x = 36,505,543.26
  5. Step 5: Solve for x
    x = 36,505,543.26/7,980.33
  6. Step 6: Final answer
    x = 4,574.44

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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.