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Finding the Fourth Proportional to 7,694.60, 11,532.55 and 3,528.82

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Solution

The fourth proportional to 7,694.60, 11,532.55 and 3,528.82 is: 5,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.60 : 11,532.55 = 3,528.82 : x
  2. Step 2: Convert to fraction form
    7,694.60/11,532.55 = 3,528.82/x
  3. Step 3: Cross multiply
    7,694.60x = 11,532.55 × 3,528.82
  4. Step 4: Simplify right side
    7,694.60x = 40,696,250.36
  5. Step 5: Solve for x
    x = 40,696,250.36/7,694.60
  6. Step 6: Final answer
    x = 5,288.94

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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.