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Finding the Fourth Proportional to 8,065.34, 12,099.44 and 3,683.24

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Solution

The fourth proportional to 8,065.34, 12,099.44 and 3,683.24 is: 5,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.34 : 12,099.44 = 3,683.24 : x
  2. Step 2: Convert to fraction form
    8,065.34/12,099.44 = 3,683.24/x
  3. Step 3: Cross multiply
    8,065.34x = 12,099.44 × 3,683.24
  4. Step 4: Simplify right side
    8,065.34x = 44,565,141.39
  5. Step 5: Solve for x
    x = 44,565,141.39/8,065.34
  6. Step 6: Final answer
    x = 5,525.51

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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.