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Finding the Fourth Proportional to 12,683.40, 19,025.10 and 5,757.90

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Solution

The fourth proportional to 12,683.40, 19,025.10 and 5,757.90 is: 8,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.40 : 19,025.10 = 5,757.90 : x
  2. Step 2: Convert to fraction form
    12,683.40/19,025.10 = 5,757.90/x
  3. Step 3: Cross multiply
    12,683.40x = 19,025.10 × 5,757.90
  4. Step 4: Simplify right side
    12,683.40x = 109,544,623.29
  5. Step 5: Solve for x
    x = 109,544,623.29/12,683.40
  6. Step 6: Final answer
    x = 8,636.85

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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.