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Finding the Fourth Proportional to 11,849.54, 17,770.21 and 6,592.54

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Solution

The fourth proportional to 11,849.54, 17,770.21 and 6,592.54 is: 9,886.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.54 : 17,770.21 = 6,592.54 : x
  2. Step 2: Convert to fraction form
    11,849.54/17,770.21 = 6,592.54/x
  3. Step 3: Cross multiply
    11,849.54x = 17,770.21 × 6,592.54
  4. Step 4: Simplify right side
    11,849.54x = 117,150,820.23
  5. Step 5: Solve for x
    x = 117,150,820.23/11,849.54
  6. Step 6: Final answer
    x = 9,886.53

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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.