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Finding the Fourth Proportional to 8,683.86, 11,983 and 5,098.44

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Solution

The fourth proportional to 8,683.86, 11,983 and 5,098.44 is: 7,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.86 : 11,983 = 5,098.44 : x
  2. Step 2: Convert to fraction form
    8,683.86/11,983 = 5,098.44/x
  3. Step 3: Cross multiply
    8,683.86x = 11,983 × 5,098.44
  4. Step 4: Simplify right side
    8,683.86x = 61,094,606.52
  5. Step 5: Solve for x
    x = 61,094,606.52/8,683.86
  6. Step 6: Final answer
    x = 7,035.42

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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.