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Finding the Fourth Proportional to 8,051.20, 12,069.44 and 5,968.68

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Solution

The fourth proportional to 8,051.20, 12,069.44 and 5,968.68 is: 8,947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.20 : 12,069.44 = 5,968.68 : x
  2. Step 2: Convert to fraction form
    8,051.20/12,069.44 = 5,968.68/x
  3. Step 3: Cross multiply
    8,051.20x = 12,069.44 × 5,968.68
  4. Step 4: Simplify right side
    8,051.20x = 72,038,625.14
  5. Step 5: Solve for x
    x = 72,038,625.14/8,051.20
  6. Step 6: Final answer
    x = 8,947.56

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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.