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Finding the Fourth Proportional to 7,660.94, 10,572.22 and 4,676.38

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Solution

The fourth proportional to 7,660.94, 10,572.22 and 4,676.38 is: 6,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.94 : 10,572.22 = 4,676.38 : x
  2. Step 2: Convert to fraction form
    7,660.94/10,572.22 = 4,676.38/x
  3. Step 3: Cross multiply
    7,660.94x = 10,572.22 × 4,676.38
  4. Step 4: Simplify right side
    7,660.94x = 49,439,680.04
  5. Step 5: Solve for x
    x = 49,439,680.04/7,660.94
  6. Step 6: Final answer
    x = 6,453.47

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Why These Related Problems?

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