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Finding the Fourth Proportional to 8,349.96, 12,527.64 and 2,805.84

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Solution

The fourth proportional to 8,349.96, 12,527.64 and 2,805.84 is: 4,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.96 : 12,527.64 = 2,805.84 : x
  2. Step 2: Convert to fraction form
    8,349.96/12,527.64 = 2,805.84/x
  3. Step 3: Cross multiply
    8,349.96x = 12,527.64 × 2,805.84
  4. Step 4: Simplify right side
    8,349.96x = 35,150,553.42
  5. Step 5: Solve for x
    x = 35,150,553.42/8,349.96
  6. Step 6: Final answer
    x = 4,209.67

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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.