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Finding the Fourth Proportional to 6,907.84, 10,361.70 and 4,135.28

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Solution

The fourth proportional to 6,907.84, 10,361.70 and 4,135.28 is: 6,202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.84 : 10,361.70 = 4,135.28 : x
  2. Step 2: Convert to fraction form
    6,907.84/10,361.70 = 4,135.28/x
  3. Step 3: Cross multiply
    6,907.84x = 10,361.70 × 4,135.28
  4. Step 4: Simplify right side
    6,907.84x = 42,848,530.78
  5. Step 5: Solve for x
    x = 42,848,530.78/6,907.84
  6. Step 6: Final answer
    x = 6,202.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.