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Finding the Fourth Proportional to 6,803.54, 10,202.88 and 2,420.12

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Solution

The fourth proportional to 6,803.54, 10,202.88 and 2,420.12 is: 3,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.54 : 10,202.88 = 2,420.12 : x
  2. Step 2: Convert to fraction form
    6,803.54/10,202.88 = 2,420.12/x
  3. Step 3: Cross multiply
    6,803.54x = 10,202.88 × 2,420.12
  4. Step 4: Simplify right side
    6,803.54x = 24,692,219.45
  5. Step 5: Solve for x
    x = 24,692,219.45/6,803.54
  6. Step 6: Final answer
    x = 3,629.32

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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.