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Finding the Fourth Proportional to 11,305.57, 15,605.73 and 7,717.96

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Solution

The fourth proportional to 11,305.57, 15,605.73 and 7,717.96 is: 10,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.57 : 15,605.73 = 7,717.96 : x
  2. Step 2: Convert to fraction form
    11,305.57/15,605.73 = 7,717.96/x
  3. Step 3: Cross multiply
    11,305.57x = 15,605.73 × 7,717.96
  4. Step 4: Simplify right side
    11,305.57x = 120,444,361.32
  5. Step 5: Solve for x
    x = 120,444,361.32/11,305.57
  6. Step 6: Final answer
    x = 10,653.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.