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Finding the Fourth Proportional to 7,611, 10,504.62 and 4,299

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Solution

The fourth proportional to 7,611, 10,504.62 and 4,299 is: 5,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611 : 10,504.62 = 4,299 : x
  2. Step 2: Convert to fraction form
    7,611/10,504.62 = 4,299/x
  3. Step 3: Cross multiply
    7,611x = 10,504.62 × 4,299
  4. Step 4: Simplify right side
    7,611x = 45,159,361.38
  5. Step 5: Solve for x
    x = 45,159,361.38/7,611
  6. Step 6: Final answer
    x = 5,933.43

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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.