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Finding the Fourth Proportional to 7,678.38, 10,596.21 and 4,321.25

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Solution

The fourth proportional to 7,678.38, 10,596.21 and 4,321.25 is: 5,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.38 : 10,596.21 = 4,321.25 : x
  2. Step 2: Convert to fraction form
    7,678.38/10,596.21 = 4,321.25/x
  3. Step 3: Cross multiply
    7,678.38x = 10,596.21 × 4,321.25
  4. Step 4: Simplify right side
    7,678.38x = 45,788,797.88
  5. Step 5: Solve for x
    x = 45,788,797.88/7,678.38
  6. Step 6: Final answer
    x = 5,963.34

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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.