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Finding the Fourth Proportional to 10,667.21, 16,000.83 and 4,089.83

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Solution

The fourth proportional to 10,667.21, 16,000.83 and 4,089.83 is: 6,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.21 : 16,000.83 = 4,089.83 : x
  2. Step 2: Convert to fraction form
    10,667.21/16,000.83 = 4,089.83/x
  3. Step 3: Cross multiply
    10,667.21x = 16,000.83 × 4,089.83
  4. Step 4: Simplify right side
    10,667.21x = 65,440,594.55
  5. Step 5: Solve for x
    x = 65,440,594.55/10,667.21
  6. Step 6: Final answer
    x = 6,134.75

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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.