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Finding the Fourth Proportional to 7,725.62, 10,651.94 and 6,528.44

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Solution

The fourth proportional to 7,725.62, 10,651.94 and 6,528.44 is: 9,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.62 : 10,651.94 = 6,528.44 : x
  2. Step 2: Convert to fraction form
    7,725.62/10,651.94 = 6,528.44/x
  3. Step 3: Cross multiply
    7,725.62x = 10,651.94 × 6,528.44
  4. Step 4: Simplify right side
    7,725.62x = 69,540,497.91
  5. Step 5: Solve for x
    x = 69,540,497.91/7,725.62
  6. Step 6: Final answer
    x = 9,001.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.