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Finding the Fourth Proportional to 6,802.08, 10,202.16 and 2,121

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Solution

The fourth proportional to 6,802.08, 10,202.16 and 2,121 is: 3,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.08 : 10,202.16 = 2,121 : x
  2. Step 2: Convert to fraction form
    6,802.08/10,202.16 = 2,121/x
  3. Step 3: Cross multiply
    6,802.08x = 10,202.16 × 2,121
  4. Step 4: Simplify right side
    6,802.08x = 21,638,781.36
  5. Step 5: Solve for x
    x = 21,638,781.36/6,802.08
  6. Step 6: Final answer
    x = 3,181.20

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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.