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Finding the Fourth Proportional to 7,732.06, 11,608.92 and 3,987.02

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Solution

The fourth proportional to 7,732.06, 11,608.92 and 3,987.02 is: 5,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.06 : 11,608.92 = 3,987.02 : x
  2. Step 2: Convert to fraction form
    7,732.06/11,608.92 = 3,987.02/x
  3. Step 3: Cross multiply
    7,732.06x = 11,608.92 × 3,987.02
  4. Step 4: Simplify right side
    7,732.06x = 46,285,025.24
  5. Step 5: Solve for x
    x = 46,285,025.24/7,732.06
  6. Step 6: Final answer
    x = 5,986.12

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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.