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Finding the Fourth Proportional to 7,349.94, 11,024.91 and 3,189.78

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Solution

The fourth proportional to 7,349.94, 11,024.91 and 3,189.78 is: 4,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.94 : 11,024.91 = 3,189.78 : x
  2. Step 2: Convert to fraction form
    7,349.94/11,024.91 = 3,189.78/x
  3. Step 3: Cross multiply
    7,349.94x = 11,024.91 × 3,189.78
  4. Step 4: Simplify right side
    7,349.94x = 35,167,037.42
  5. Step 5: Solve for x
    x = 35,167,037.42/7,349.94
  6. Step 6: Final answer
    x = 4,784.67

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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.