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Finding the Fourth Proportional to 7,884.84, 11,824.83 and 2,689.50

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Solution

The fourth proportional to 7,884.84, 11,824.83 and 2,689.50 is: 4,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.84 : 11,824.83 = 2,689.50 : x
  2. Step 2: Convert to fraction form
    7,884.84/11,824.83 = 2,689.50/x
  3. Step 3: Cross multiply
    7,884.84x = 11,824.83 × 2,689.50
  4. Step 4: Simplify right side
    7,884.84x = 31,802,880.29
  5. Step 5: Solve for x
    x = 31,802,880.29/7,884.84
  6. Step 6: Final answer
    x = 4,033.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.