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Finding the Fourth Proportional to 7,634.38, 10,529.99 and 4,945.58

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Solution

The fourth proportional to 7,634.38, 10,529.99 and 4,945.58 is: 6,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.38 : 10,529.99 = 4,945.58 : x
  2. Step 2: Convert to fraction form
    7,634.38/10,529.99 = 4,945.58/x
  3. Step 3: Cross multiply
    7,634.38x = 10,529.99 × 4,945.58
  4. Step 4: Simplify right side
    7,634.38x = 52,076,907.94
  5. Step 5: Solve for x
    x = 52,076,907.94/7,634.38
  6. Step 6: Final answer
    x = 6,821.37

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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.