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Finding the Fourth Proportional to 7,689.78, 11,527.71 and 2,758.62

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Solution

The fourth proportional to 7,689.78, 11,527.71 and 2,758.62 is: 4,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.78 : 11,527.71 = 2,758.62 : x
  2. Step 2: Convert to fraction form
    7,689.78/11,527.71 = 2,758.62/x
  3. Step 3: Cross multiply
    7,689.78x = 11,527.71 × 2,758.62
  4. Step 4: Simplify right side
    7,689.78x = 31,800,571.36
  5. Step 5: Solve for x
    x = 31,800,571.36/7,689.78
  6. Step 6: Final answer
    x = 4,135.43

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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.