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Finding the Fourth Proportional to 11,805.40, 17,693.70 and 5,224.60

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Solution

The fourth proportional to 11,805.40, 17,693.70 and 5,224.60 is: 7,830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.40 : 17,693.70 = 5,224.60 : x
  2. Step 2: Convert to fraction form
    11,805.40/17,693.70 = 5,224.60/x
  3. Step 3: Cross multiply
    11,805.40x = 17,693.70 × 5,224.60
  4. Step 4: Simplify right side
    11,805.40x = 92,442,505.02
  5. Step 5: Solve for x
    x = 92,442,505.02/11,805.40
  6. Step 6: Final answer
    x = 7,830.53

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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.