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Finding the Fourth Proportional to 6,683.40, 10,025.10 and 4,229.10

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Solution

The fourth proportional to 6,683.40, 10,025.10 and 4,229.10 is: 6,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.40 : 10,025.10 = 4,229.10 : x
  2. Step 2: Convert to fraction form
    6,683.40/10,025.10 = 4,229.10/x
  3. Step 3: Cross multiply
    6,683.40x = 10,025.10 × 4,229.10
  4. Step 4: Simplify right side
    6,683.40x = 42,397,150.41
  5. Step 5: Solve for x
    x = 42,397,150.41/6,683.40
  6. Step 6: Final answer
    x = 6,343.65

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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.