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Finding the Fourth Proportional to 10,802.87, 16,193.21 and 4,137.81

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Solution

The fourth proportional to 10,802.87, 16,193.21 and 4,137.81 is: 6,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.87 : 16,193.21 = 4,137.81 : x
  2. Step 2: Convert to fraction form
    10,802.87/16,193.21 = 4,137.81/x
  3. Step 3: Cross multiply
    10,802.87x = 16,193.21 × 4,137.81
  4. Step 4: Simplify right side
    10,802.87x = 67,004,410.13
  5. Step 5: Solve for x
    x = 67,004,410.13/10,802.87
  6. Step 6: Final answer
    x = 6,202.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.