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Finding the Fourth Proportional to 7,683.46, 11,525.41 and 4,175.15

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Solution

The fourth proportional to 7,683.46, 11,525.41 and 4,175.15 is: 6,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.46 : 11,525.41 = 4,175.15 : x
  2. Step 2: Convert to fraction form
    7,683.46/11,525.41 = 4,175.15/x
  3. Step 3: Cross multiply
    7,683.46x = 11,525.41 × 4,175.15
  4. Step 4: Simplify right side
    7,683.46x = 48,120,315.56
  5. Step 5: Solve for x
    x = 48,120,315.56/7,683.46
  6. Step 6: Final answer
    x = 6,262.84

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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.