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Finding the Fourth Proportional to 11,683.71, 17,515.15 and 4,286.46

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Solution

The fourth proportional to 11,683.71, 17,515.15 and 4,286.46 is: 6,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.71 : 17,515.15 = 4,286.46 : x
  2. Step 2: Convert to fraction form
    11,683.71/17,515.15 = 4,286.46/x
  3. Step 3: Cross multiply
    11,683.71x = 17,515.15 × 4,286.46
  4. Step 4: Simplify right side
    11,683.71x = 75,077,989.87
  5. Step 5: Solve for x
    x = 75,077,989.87/11,683.71
  6. Step 6: Final answer
    x = 6,425.87

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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.