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Finding the Fourth Proportional to 11,847.75, 17,774.55 and 3,527.74

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Solution

The fourth proportional to 11,847.75, 17,774.55 and 3,527.74 is: 5,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.75 : 17,774.55 = 3,527.74 : x
  2. Step 2: Convert to fraction form
    11,847.75/17,774.55 = 3,527.74/x
  3. Step 3: Cross multiply
    11,847.75x = 17,774.55 × 3,527.74
  4. Step 4: Simplify right side
    11,847.75x = 62,703,991.02
  5. Step 5: Solve for x
    x = 62,703,991.02/11,847.75
  6. Step 6: Final answer
    x = 5,292.48

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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.