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Finding the Fourth Proportional to 8,039.26, 12,077.43 and 7,707.12

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Solution

The fourth proportional to 8,039.26, 12,077.43 and 7,707.12 is: 11,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.26 : 12,077.43 = 7,707.12 : x
  2. Step 2: Convert to fraction form
    8,039.26/12,077.43 = 7,707.12/x
  3. Step 3: Cross multiply
    8,039.26x = 12,077.43 × 7,707.12
  4. Step 4: Simplify right side
    8,039.26x = 93,082,202.30
  5. Step 5: Solve for x
    x = 93,082,202.30/8,039.26
  6. Step 6: Final answer
    x = 11,578.45

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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.