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Finding the Fourth Proportional to 10,667.80, 16,004.19 and 3,647.87

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Solution

The fourth proportional to 10,667.80, 16,004.19 and 3,647.87 is: 5,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.80 : 16,004.19 = 3,647.87 : x
  2. Step 2: Convert to fraction form
    10,667.80/16,004.19 = 3,647.87/x
  3. Step 3: Cross multiply
    10,667.80x = 16,004.19 × 3,647.87
  4. Step 4: Simplify right side
    10,667.80x = 58,381,204.58
  5. Step 5: Solve for x
    x = 58,381,204.58/10,667.80
  6. Step 6: Final answer
    x = 5,472.66

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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.