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Finding the Fourth Proportional to 11,683.10, 16,123.06 and 6,378.20

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Solution

The fourth proportional to 11,683.10, 16,123.06 and 6,378.20 is: 8,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.10 : 16,123.06 = 6,378.20 : x
  2. Step 2: Convert to fraction form
    11,683.10/16,123.06 = 6,378.20/x
  3. Step 3: Cross multiply
    11,683.10x = 16,123.06 × 6,378.20
  4. Step 4: Simplify right side
    11,683.10x = 102,836,101.29
  5. Step 5: Solve for x
    x = 102,836,101.29/11,683.10
  6. Step 6: Final answer
    x = 8,802.12

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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.