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Finding the Fourth Proportional to 11,683.01, 16,121.98 and 6,646.75

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Solution

The fourth proportional to 11,683.01, 16,121.98 and 6,646.75 is: 9,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.01 : 16,121.98 = 6,646.75 : x
  2. Step 2: Convert to fraction form
    11,683.01/16,121.98 = 6,646.75/x
  3. Step 3: Cross multiply
    11,683.01x = 16,121.98 × 6,646.75
  4. Step 4: Simplify right side
    11,683.01x = 107,158,770.57
  5. Step 5: Solve for x
    x = 107,158,770.57/11,683.01
  6. Step 6: Final answer
    x = 9,172.19

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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.