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Finding the Fourth Proportional to 6,709.83, 10,055.03 and 3,781.91

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Solution

The fourth proportional to 6,709.83, 10,055.03 and 3,781.91 is: 5,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.83 : 10,055.03 = 3,781.91 : x
  2. Step 2: Convert to fraction form
    6,709.83/10,055.03 = 3,781.91/x
  3. Step 3: Cross multiply
    6,709.83x = 10,055.03 × 3,781.91
  4. Step 4: Simplify right side
    6,709.83x = 38,027,149.32
  5. Step 5: Solve for x
    x = 38,027,149.32/6,709.83
  6. Step 6: Final answer
    x = 5,667.38

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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.