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Finding the Fourth Proportional to 7,986.96, 11,021.94 and 4,449.96

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Solution

The fourth proportional to 7,986.96, 11,021.94 and 4,449.96 is: 6,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.96 : 11,021.94 = 4,449.96 : x
  2. Step 2: Convert to fraction form
    7,986.96/11,021.94 = 4,449.96/x
  3. Step 3: Cross multiply
    7,986.96x = 11,021.94 × 4,449.96
  4. Step 4: Simplify right side
    7,986.96x = 49,047,192.12
  5. Step 5: Solve for x
    x = 49,047,192.12/7,986.96
  6. Step 6: Final answer
    x = 6,140.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.