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Finding the Fourth Proportional to 7,675.38, 11,498.25 and 6,427.98

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Solution

The fourth proportional to 7,675.38, 11,498.25 and 6,427.98 is: 9,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.38 : 11,498.25 = 6,427.98 : x
  2. Step 2: Convert to fraction form
    7,675.38/11,498.25 = 6,427.98/x
  3. Step 3: Cross multiply
    7,675.38x = 11,498.25 × 6,427.98
  4. Step 4: Simplify right side
    7,675.38x = 73,910,521.04
  5. Step 5: Solve for x
    x = 73,910,521.04/7,675.38
  6. Step 6: Final answer
    x = 9,629.56

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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.