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Finding the Fourth Proportional to 7,682.15, 11,523.23 and 2,135.49

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Solution

The fourth proportional to 7,682.15, 11,523.23 and 2,135.49 is: 3,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.15 : 11,523.23 = 2,135.49 : x
  2. Step 2: Convert to fraction form
    7,682.15/11,523.23 = 2,135.49/x
  3. Step 3: Cross multiply
    7,682.15x = 11,523.23 × 2,135.49
  4. Step 4: Simplify right side
    7,682.15x = 24,607,731.76
  5. Step 5: Solve for x
    x = 24,607,731.76/7,682.15
  6. Step 6: Final answer
    x = 3,203.24

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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.