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Finding the Fourth Proportional to 7,337.83, 11,006.75 and 3,174.43

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Solution

The fourth proportional to 7,337.83, 11,006.75 and 3,174.43 is: 4,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,337.83 : 11,006.75 = 3,174.43 : x
  2. Step 2: Convert to fraction form
    7,337.83/11,006.75 = 3,174.43/x
  3. Step 3: Cross multiply
    7,337.83x = 11,006.75 × 3,174.43
  4. Step 4: Simplify right side
    7,337.83x = 34,940,157.40
  5. Step 5: Solve for x
    x = 34,940,157.40/7,337.83
  6. Step 6: Final answer
    x = 4,761.65

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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.