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Finding the Fourth Proportional to 10,992.76, 16,471.84 and 8,500.03

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Solution

The fourth proportional to 10,992.76, 16,471.84 and 8,500.03 is: 12,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.76 : 16,471.84 = 8,500.03 : x
  2. Step 2: Convert to fraction form
    10,992.76/16,471.84 = 8,500.03/x
  3. Step 3: Cross multiply
    10,992.76x = 16,471.84 × 8,500.03
  4. Step 4: Simplify right side
    10,992.76x = 140,011,134.16
  5. Step 5: Solve for x
    x = 140,011,134.16/10,992.76
  6. Step 6: Final answer
    x = 12,736.67

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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.