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Finding the Fourth Proportional to 6,735.51, 10,103.85 and 2,055.42

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Solution

The fourth proportional to 6,735.51, 10,103.85 and 2,055.42 is: 3,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.51 : 10,103.85 = 2,055.42 : x
  2. Step 2: Convert to fraction form
    6,735.51/10,103.85 = 2,055.42/x
  3. Step 3: Cross multiply
    6,735.51x = 10,103.85 × 2,055.42
  4. Step 4: Simplify right side
    6,735.51x = 20,767,655.37
  5. Step 5: Solve for x
    x = 20,767,655.37/6,735.51
  6. Step 6: Final answer
    x = 3,083.31

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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.