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Finding the Fourth Proportional to 6,802.84, 10,203.30 and 2,185.24

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Solution

The fourth proportional to 6,802.84, 10,203.30 and 2,185.24 is: 3,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.84 : 10,203.30 = 2,185.24 : x
  2. Step 2: Convert to fraction form
    6,802.84/10,203.30 = 2,185.24/x
  3. Step 3: Cross multiply
    6,802.84x = 10,203.30 × 2,185.24
  4. Step 4: Simplify right side
    6,802.84x = 22,296,659.29
  5. Step 5: Solve for x
    x = 22,296,659.29/6,802.84
  6. Step 6: Final answer
    x = 3,277.55

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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.