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Finding the Fourth Proportional to 7,685.56, 11,527.81 and 2,138.79

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Solution

The fourth proportional to 7,685.56, 11,527.81 and 2,138.79 is: 3,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.56 : 11,527.81 = 2,138.79 : x
  2. Step 2: Convert to fraction form
    7,685.56/11,527.81 = 2,138.79/x
  3. Step 3: Cross multiply
    7,685.56x = 11,527.81 × 2,138.79
  4. Step 4: Simplify right side
    7,685.56x = 24,655,564.75
  5. Step 5: Solve for x
    x = 24,655,564.75/7,685.56
  6. Step 6: Final answer
    x = 3,208.04

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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.