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Finding the Fourth Proportional to 11,846.72, 16,346.08 and 7,601.60

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Solution

The fourth proportional to 11,846.72, 16,346.08 and 7,601.60 is: 10,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.72 : 16,346.08 = 7,601.60 : x
  2. Step 2: Convert to fraction form
    11,846.72/16,346.08 = 7,601.60/x
  3. Step 3: Cross multiply
    11,846.72x = 16,346.08 × 7,601.60
  4. Step 4: Simplify right side
    11,846.72x = 124,256,361.73
  5. Step 5: Solve for x
    x = 124,256,361.73/11,846.72
  6. Step 6: Final answer
    x = 10,488.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.