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Finding the Fourth Proportional to 6,783.44, 10,175.06 and 1,853.07

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Solution

The fourth proportional to 6,783.44, 10,175.06 and 1,853.07 is: 2,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.44 : 10,175.06 = 1,853.07 : x
  2. Step 2: Convert to fraction form
    6,783.44/10,175.06 = 1,853.07/x
  3. Step 3: Cross multiply
    6,783.44x = 10,175.06 × 1,853.07
  4. Step 4: Simplify right side
    6,783.44x = 18,855,098.43
  5. Step 5: Solve for x
    x = 18,855,098.43/6,783.44
  6. Step 6: Final answer
    x = 2,779.58

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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.