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Finding the Fourth Proportional to 10,683.48, 16,035.18 and 5,422.22

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Solution

The fourth proportional to 10,683.48, 16,035.18 and 5,422.22 is: 8,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.48 : 16,035.18 = 5,422.22 : x
  2. Step 2: Convert to fraction form
    10,683.48/16,035.18 = 5,422.22/x
  3. Step 3: Cross multiply
    10,683.48x = 16,035.18 × 5,422.22
  4. Step 4: Simplify right side
    10,683.48x = 86,946,273.70
  5. Step 5: Solve for x
    x = 86,946,273.70/10,683.48
  6. Step 6: Final answer
    x = 8,138.39

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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.