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Finding the Fourth Proportional to 11,683.50, 16,123.32 and 6,378.30

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Solution

The fourth proportional to 11,683.50, 16,123.32 and 6,378.30 is: 8,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.50 : 16,123.32 = 6,378.30 : x
  2. Step 2: Convert to fraction form
    11,683.50/16,123.32 = 6,378.30/x
  3. Step 3: Cross multiply
    11,683.50x = 16,123.32 × 6,378.30
  4. Step 4: Simplify right side
    11,683.50x = 102,839,371.96
  5. Step 5: Solve for x
    x = 102,839,371.96/11,683.50
  6. Step 6: Final answer
    x = 8,802.10

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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.