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Finding the Fourth Proportional to 10,728.54, 16,099.29 and 3,802.14

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Solution

The fourth proportional to 10,728.54, 16,099.29 and 3,802.14 is: 5,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.54 : 16,099.29 = 3,802.14 : x
  2. Step 2: Convert to fraction form
    10,728.54/16,099.29 = 3,802.14/x
  3. Step 3: Cross multiply
    10,728.54x = 16,099.29 × 3,802.14
  4. Step 4: Simplify right side
    10,728.54x = 61,211,754.48
  5. Step 5: Solve for x
    x = 61,211,754.48/10,728.54
  6. Step 6: Final answer
    x = 5,705.51

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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.