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Finding the Fourth Proportional to 7,683.86, 11,524.49 and 2,137.74

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Solution

The fourth proportional to 7,683.86, 11,524.49 and 2,137.74 is: 3,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.86 : 11,524.49 = 2,137.74 : x
  2. Step 2: Convert to fraction form
    7,683.86/11,524.49 = 2,137.74/x
  3. Step 3: Cross multiply
    7,683.86x = 11,524.49 × 2,137.74
  4. Step 4: Simplify right side
    7,683.86x = 24,636,363.25
  5. Step 5: Solve for x
    x = 24,636,363.25/7,683.86
  6. Step 6: Final answer
    x = 3,206.25

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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.