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Finding the Fourth Proportional to 11,770.77, 17,647.59 and 5,527.57

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Solution

The fourth proportional to 11,770.77, 17,647.59 and 5,527.57 is: 8,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.77 : 17,647.59 = 5,527.57 : x
  2. Step 2: Convert to fraction form
    11,770.77/17,647.59 = 5,527.57/x
  3. Step 3: Cross multiply
    11,770.77x = 17,647.59 × 5,527.57
  4. Step 4: Simplify right side
    11,770.77x = 97,548,289.06
  5. Step 5: Solve for x
    x = 97,548,289.06/11,770.77
  6. Step 6: Final answer
    x = 8,287.33

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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.