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Finding the Fourth Proportional to 8,683.72, 11,982.18 and 5,146.36

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Solution

The fourth proportional to 8,683.72, 11,982.18 and 5,146.36 is: 7,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.72 : 11,982.18 = 5,146.36 : x
  2. Step 2: Convert to fraction form
    8,683.72/11,982.18 = 5,146.36/x
  3. Step 3: Cross multiply
    8,683.72x = 11,982.18 × 5,146.36
  4. Step 4: Simplify right side
    8,683.72x = 61,664,611.86
  5. Step 5: Solve for x
    x = 61,664,611.86/8,683.72
  6. Step 6: Final answer
    x = 7,101.17

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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.