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Finding the Fourth Proportional to 7,676.37, 10,592.46 and 4,318.65

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Solution

The fourth proportional to 7,676.37, 10,592.46 and 4,318.65 is: 5,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.37 : 10,592.46 = 4,318.65 : x
  2. Step 2: Convert to fraction form
    7,676.37/10,592.46 = 4,318.65/x
  3. Step 3: Cross multiply
    7,676.37x = 10,592.46 × 4,318.65
  4. Step 4: Simplify right side
    7,676.37x = 45,745,127.38
  5. Step 5: Solve for x
    x = 45,745,127.38/7,676.37
  6. Step 6: Final answer
    x = 5,959.21

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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.