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Finding the Fourth Proportional to 8,667.84, 13,004.78 and 2,745.64

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Solution

The fourth proportional to 8,667.84, 13,004.78 and 2,745.64 is: 4,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.84 : 13,004.78 = 2,745.64 : x
  2. Step 2: Convert to fraction form
    8,667.84/13,004.78 = 2,745.64/x
  3. Step 3: Cross multiply
    8,667.84x = 13,004.78 × 2,745.64
  4. Step 4: Simplify right side
    8,667.84x = 35,706,444.16
  5. Step 5: Solve for x
    x = 35,706,444.16/8,667.84
  6. Step 6: Final answer
    x = 4,119.42

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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.