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Finding the Fourth Proportional to 7,689.97, 11,469.30 and 6,527.62

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Solution

The fourth proportional to 7,689.97, 11,469.30 and 6,527.62 is: 9,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.97 : 11,469.30 = 6,527.62 : x
  2. Step 2: Convert to fraction form
    7,689.97/11,469.30 = 6,527.62/x
  3. Step 3: Cross multiply
    7,689.97x = 11,469.30 × 6,527.62
  4. Step 4: Simplify right side
    7,689.97x = 74,867,232.07
  5. Step 5: Solve for x
    x = 74,867,232.07/7,689.97
  6. Step 6: Final answer
    x = 9,735.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.