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Finding the Fourth Proportional to 10,683.44, 16,027.01 and 4,762.43

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Solution

The fourth proportional to 10,683.44, 16,027.01 and 4,762.43 is: 7,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.44 : 16,027.01 = 4,762.43 : x
  2. Step 2: Convert to fraction form
    10,683.44/16,027.01 = 4,762.43/x
  3. Step 3: Cross multiply
    10,683.44x = 16,027.01 × 4,762.43
  4. Step 4: Simplify right side
    10,683.44x = 76,327,513.23
  5. Step 5: Solve for x
    x = 76,327,513.23/10,683.44
  6. Step 6: Final answer
    x = 7,144.47

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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.