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Finding the Fourth Proportional to 11,845.70, 17,768.47 and 4,824.07

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Solution

The fourth proportional to 11,845.70, 17,768.47 and 4,824.07 is: 7,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,845.70 : 17,768.47 = 4,824.07 : x
  2. Step 2: Convert to fraction form
    11,845.70/17,768.47 = 4,824.07/x
  3. Step 3: Cross multiply
    11,845.70x = 17,768.47 × 4,824.07
  4. Step 4: Simplify right side
    11,845.70x = 85,716,230.11
  5. Step 5: Solve for x
    x = 85,716,230.11/11,845.70
  6. Step 6: Final answer
    x = 7,236.06

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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.