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Finding the Fourth Proportional to 7,682.13, 11,522.79 and 2,135.79

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Solution

The fourth proportional to 7,682.13, 11,522.79 and 2,135.79 is: 3,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.13 : 11,522.79 = 2,135.79 : x
  2. Step 2: Convert to fraction form
    7,682.13/11,522.79 = 2,135.79/x
  3. Step 3: Cross multiply
    7,682.13x = 11,522.79 × 2,135.79
  4. Step 4: Simplify right side
    7,682.13x = 24,610,259.65
  5. Step 5: Solve for x
    x = 24,610,259.65/7,682.13
  6. Step 6: Final answer
    x = 3,203.57

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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.