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Finding the Fourth Proportional to 10,599.45, 15,893.10 and 3,202.80

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Solution

The fourth proportional to 10,599.45, 15,893.10 and 3,202.80 is: 4,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.45 : 15,893.10 = 3,202.80 : x
  2. Step 2: Convert to fraction form
    10,599.45/15,893.10 = 3,202.80/x
  3. Step 3: Cross multiply
    10,599.45x = 15,893.10 × 3,202.80
  4. Step 4: Simplify right side
    10,599.45x = 50,902,420.68
  5. Step 5: Solve for x
    x = 50,902,420.68/10,599.45
  6. Step 6: Final answer
    x = 4,802.36

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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.