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Finding the Fourth Proportional to 12,082.41, 16,683.17 and 7,835.49

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Solution

The fourth proportional to 12,082.41, 16,683.17 and 7,835.49 is: 10,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.41 : 16,683.17 = 7,835.49 : x
  2. Step 2: Convert to fraction form
    12,082.41/16,683.17 = 7,835.49/x
  3. Step 3: Cross multiply
    12,082.41x = 16,683.17 × 7,835.49
  4. Step 4: Simplify right side
    12,082.41x = 130,720,772.53
  5. Step 5: Solve for x
    x = 130,720,772.53/12,082.41
  6. Step 6: Final answer
    x = 10,819.10

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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.