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Finding the Fourth Proportional to 6,802.32, 10,205.10 and 3,685.44

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Solution

The fourth proportional to 6,802.32, 10,205.10 and 3,685.44 is: 5,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.32 : 10,205.10 = 3,685.44 : x
  2. Step 2: Convert to fraction form
    6,802.32/10,205.10 = 3,685.44/x
  3. Step 3: Cross multiply
    6,802.32x = 10,205.10 × 3,685.44
  4. Step 4: Simplify right side
    6,802.32x = 37,610,283.74
  5. Step 5: Solve for x
    x = 37,610,283.74/6,802.32
  6. Step 6: Final answer
    x = 5,529.04

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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.