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Finding the Fourth Proportional to 7,342.82, 11,006.50 and 4,676.44

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Solution

The fourth proportional to 7,342.82, 11,006.50 and 4,676.44 is: 7,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.82 : 11,006.50 = 4,676.44 : x
  2. Step 2: Convert to fraction form
    7,342.82/11,006.50 = 4,676.44/x
  3. Step 3: Cross multiply
    7,342.82x = 11,006.50 × 4,676.44
  4. Step 4: Simplify right side
    7,342.82x = 51,471,181.83
  5. Step 5: Solve for x
    x = 51,471,181.83/7,342.82
  6. Step 6: Final answer
    x = 7,009.73

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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.