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Finding the Fourth Proportional to 11,847.25, 17,771.01 and 4,056.67

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Solution

The fourth proportional to 11,847.25, 17,771.01 and 4,056.67 is: 6,085.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.25 : 17,771.01 = 4,056.67 : x
  2. Step 2: Convert to fraction form
    11,847.25/17,771.01 = 4,056.67/x
  3. Step 3: Cross multiply
    11,847.25x = 17,771.01 × 4,056.67
  4. Step 4: Simplify right side
    11,847.25x = 72,091,123.14
  5. Step 5: Solve for x
    x = 72,091,123.14/11,847.25
  6. Step 6: Final answer
    x = 6,085.05

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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.