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Finding the Fourth Proportional to 27,684.96, 41,527.44 and 6,908.46

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Solution

The fourth proportional to 27,684.96, 41,527.44 and 6,908.46 is: 10,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.96 : 41,527.44 = 6,908.46 : x
  2. Step 2: Convert to fraction form
    27,684.96/41,527.44 = 6,908.46/x
  3. Step 3: Cross multiply
    27,684.96x = 41,527.44 × 6,908.46
  4. Step 4: Simplify right side
    27,684.96x = 286,890,658.14
  5. Step 5: Solve for x
    x = 286,890,658.14/27,684.96
  6. Step 6: Final answer
    x = 10,362.69

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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.