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Finding the Fourth Proportional to 10,806.50, 16,205.16 and 4,231.64

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Solution

The fourth proportional to 10,806.50, 16,205.16 and 4,231.64 is: 6,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.50 : 16,205.16 = 4,231.64 : x
  2. Step 2: Convert to fraction form
    10,806.50/16,205.16 = 4,231.64/x
  3. Step 3: Cross multiply
    10,806.50x = 16,205.16 × 4,231.64
  4. Step 4: Simplify right side
    10,806.50x = 68,574,459.64
  5. Step 5: Solve for x
    x = 68,574,459.64/10,806.50
  6. Step 6: Final answer
    x = 6,345.67

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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.