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Finding the Fourth Proportional to 8,077.32, 11,140.74 and 6,087.96

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Solution

The fourth proportional to 8,077.32, 11,140.74 and 6,087.96 is: 8,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.32 : 11,140.74 = 6,087.96 : x
  2. Step 2: Convert to fraction form
    8,077.32/11,140.74 = 6,087.96/x
  3. Step 3: Cross multiply
    8,077.32x = 11,140.74 × 6,087.96
  4. Step 4: Simplify right side
    8,077.32x = 67,824,379.49
  5. Step 5: Solve for x
    x = 67,824,379.49/8,077.32
  6. Step 6: Final answer
    x = 8,396.89

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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.