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Finding the Fourth Proportional to 11,683.51, 16,122.63 and 6,377.30

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Solution

The fourth proportional to 11,683.51, 16,122.63 and 6,377.30 is: 8,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.51 : 16,122.63 = 6,377.30 : x
  2. Step 2: Convert to fraction form
    11,683.51/16,122.63 = 6,377.30/x
  3. Step 3: Cross multiply
    11,683.51x = 16,122.63 × 6,377.30
  4. Step 4: Simplify right side
    11,683.51x = 102,818,767.69
  5. Step 5: Solve for x
    x = 102,818,767.69/11,683.51
  6. Step 6: Final answer
    x = 8,800.33

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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.