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Finding the Fourth Proportional to 6,802.44, 10,203.70 and 2,420.24

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Solution

The fourth proportional to 6,802.44, 10,203.70 and 2,420.24 is: 3,630.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.44 : 10,203.70 = 2,420.24 : x
  2. Step 2: Convert to fraction form
    6,802.44/10,203.70 = 2,420.24/x
  3. Step 3: Cross multiply
    6,802.44x = 10,203.70 × 2,420.24
  4. Step 4: Simplify right side
    6,802.44x = 24,695,402.89
  5. Step 5: Solve for x
    x = 24,695,402.89/6,802.44
  6. Step 6: Final answer
    x = 3,630.37

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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.