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Finding the Fourth Proportional to 11,683.85, 16,123.14 and 6,647.60

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Solution

The fourth proportional to 11,683.85, 16,123.14 and 6,647.60 is: 9,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.85 : 16,123.14 = 6,647.60 : x
  2. Step 2: Convert to fraction form
    11,683.85/16,123.14 = 6,647.60/x
  3. Step 3: Cross multiply
    11,683.85x = 16,123.14 × 6,647.60
  4. Step 4: Simplify right side
    11,683.85x = 107,180,129.78
  5. Step 5: Solve for x
    x = 107,180,129.78/11,683.85
  6. Step 6: Final answer
    x = 9,173.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.