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Finding the Fourth Proportional to 8,059.24, 12,077.92 and 5,987.06

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Solution

The fourth proportional to 8,059.24, 12,077.92 and 5,987.06 is: 8,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.24 : 12,077.92 = 5,987.06 : x
  2. Step 2: Convert to fraction form
    8,059.24/12,077.92 = 5,987.06/x
  3. Step 3: Cross multiply
    8,059.24x = 12,077.92 × 5,987.06
  4. Step 4: Simplify right side
    8,059.24x = 72,311,231.72
  5. Step 5: Solve for x
    x = 72,311,231.72/8,059.24
  6. Step 6: Final answer
    x = 8,972.46

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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.