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Finding the Fourth Proportional to 11,537.03, 17,309.58 and 3,640.77

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Solution

The fourth proportional to 11,537.03, 17,309.58 and 3,640.77 is: 5,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.03 : 17,309.58 = 3,640.77 : x
  2. Step 2: Convert to fraction form
    11,537.03/17,309.58 = 3,640.77/x
  3. Step 3: Cross multiply
    11,537.03x = 17,309.58 × 3,640.77
  4. Step 4: Simplify right side
    11,537.03x = 63,020,185.92
  5. Step 5: Solve for x
    x = 63,020,185.92/11,537.03
  6. Step 6: Final answer
    x = 5,462.43

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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.