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Finding the Fourth Proportional to 6,802.94, 10,201.33 and 2,420.51

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Solution

The fourth proportional to 6,802.94, 10,201.33 and 2,420.51 is: 3,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.94 : 10,201.33 = 2,420.51 : x
  2. Step 2: Convert to fraction form
    6,802.94/10,201.33 = 2,420.51/x
  3. Step 3: Cross multiply
    6,802.94x = 10,201.33 × 2,420.51
  4. Step 4: Simplify right side
    6,802.94x = 24,692,415.23
  5. Step 5: Solve for x
    x = 24,692,415.23/6,802.94
  6. Step 6: Final answer
    x = 3,629.67

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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.