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Finding the Fourth Proportional to 8,012.96, 12,019.44 and 7,586.48

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Solution

The fourth proportional to 8,012.96, 12,019.44 and 7,586.48 is: 11,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.96 : 12,019.44 = 7,586.48 : x
  2. Step 2: Convert to fraction form
    8,012.96/12,019.44 = 7,586.48/x
  3. Step 3: Cross multiply
    8,012.96x = 12,019.44 × 7,586.48
  4. Step 4: Simplify right side
    8,012.96x = 91,185,241.17
  5. Step 5: Solve for x
    x = 91,185,241.17/8,012.96
  6. Step 6: Final answer
    x = 11,379.72

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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.