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Finding the Fourth Proportional to 7,821.42, 10,796.94 and 4,677

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Solution

The fourth proportional to 7,821.42, 10,796.94 and 4,677 is: 6,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.42 : 10,796.94 = 4,677 : x
  2. Step 2: Convert to fraction form
    7,821.42/10,796.94 = 4,677/x
  3. Step 3: Cross multiply
    7,821.42x = 10,796.94 × 4,677
  4. Step 4: Simplify right side
    7,821.42x = 50,497,288.38
  5. Step 5: Solve for x
    x = 50,497,288.38/7,821.42
  6. Step 6: Final answer
    x = 6,456.28

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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.