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Finding the Fourth Proportional to 7,725.78, 10,660.28 and 4,538.43

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Solution

The fourth proportional to 7,725.78, 10,660.28 and 4,538.43 is: 6,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.78 : 10,660.28 = 4,538.43 : x
  2. Step 2: Convert to fraction form
    7,725.78/10,660.28 = 4,538.43/x
  3. Step 3: Cross multiply
    7,725.78x = 10,660.28 × 4,538.43
  4. Step 4: Simplify right side
    7,725.78x = 48,380,911.87
  5. Step 5: Solve for x
    x = 48,380,911.87/7,725.78
  6. Step 6: Final answer
    x = 6,262.27

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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.