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Finding the Fourth Proportional to 7,683.78, 11,527.38 and 2,489.34

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Solution

The fourth proportional to 7,683.78, 11,527.38 and 2,489.34 is: 3,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.78 : 11,527.38 = 2,489.34 : x
  2. Step 2: Convert to fraction form
    7,683.78/11,527.38 = 2,489.34/x
  3. Step 3: Cross multiply
    7,683.78x = 11,527.38 × 2,489.34
  4. Step 4: Simplify right side
    7,683.78x = 28,695,568.13
  5. Step 5: Solve for x
    x = 28,695,568.13/7,683.78
  6. Step 6: Final answer
    x = 3,734.56

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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.