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Finding the Fourth Proportional to 6,802.60, 10,212 and 4,964.44

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Solution

The fourth proportional to 6,802.60, 10,212 and 4,964.44 is: 7,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.60 : 10,212 = 4,964.44 : x
  2. Step 2: Convert to fraction form
    6,802.60/10,212 = 4,964.44/x
  3. Step 3: Cross multiply
    6,802.60x = 10,212 × 4,964.44
  4. Step 4: Simplify right side
    6,802.60x = 50,696,861.28
  5. Step 5: Solve for x
    x = 50,696,861.28/6,802.60
  6. Step 6: Final answer
    x = 7,452.57

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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.