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Finding the Fourth Proportional to 11,769.75, 16,242.27 and 6,464.67

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Solution

The fourth proportional to 11,769.75, 16,242.27 and 6,464.67 is: 8,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.75 : 16,242.27 = 6,464.67 : x
  2. Step 2: Convert to fraction form
    11,769.75/16,242.27 = 6,464.67/x
  3. Step 3: Cross multiply
    11,769.75x = 16,242.27 × 6,464.67
  4. Step 4: Simplify right side
    11,769.75x = 105,000,915.60
  5. Step 5: Solve for x
    x = 105,000,915.60/11,769.75
  6. Step 6: Final answer
    x = 8,921.25

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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.