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Finding the Fourth Proportional to 10,667.53, 16,001.53 and 3,271.83

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Solution

The fourth proportional to 10,667.53, 16,001.53 and 3,271.83 is: 4,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.53 : 16,001.53 = 3,271.83 : x
  2. Step 2: Convert to fraction form
    10,667.53/16,001.53 = 3,271.83/x
  3. Step 3: Cross multiply
    10,667.53x = 16,001.53 × 3,271.83
  4. Step 4: Simplify right side
    10,667.53x = 52,354,205.89
  5. Step 5: Solve for x
    x = 52,354,205.89/10,667.53
  6. Step 6: Final answer
    x = 4,907.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.