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Finding the Fourth Proportional to 6,907.56, 10,347.26 and 3,204.66

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Solution

The fourth proportional to 6,907.56, 10,347.26 and 3,204.66 is: 4,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.56 : 10,347.26 = 3,204.66 : x
  2. Step 2: Convert to fraction form
    6,907.56/10,347.26 = 3,204.66/x
  3. Step 3: Cross multiply
    6,907.56x = 10,347.26 × 3,204.66
  4. Step 4: Simplify right side
    6,907.56x = 33,159,450.23
  5. Step 5: Solve for x
    x = 33,159,450.23/6,907.56
  6. Step 6: Final answer
    x = 4,800.46

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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.