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Finding the Fourth Proportional to 11,620.32, 16,027.93 and 7,640.16

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Solution

The fourth proportional to 11,620.32, 16,027.93 and 7,640.16 is: 10,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.32 : 16,027.93 = 7,640.16 : x
  2. Step 2: Convert to fraction form
    11,620.32/16,027.93 = 7,640.16/x
  3. Step 3: Cross multiply
    11,620.32x = 16,027.93 × 7,640.16
  4. Step 4: Simplify right side
    11,620.32x = 122,455,949.67
  5. Step 5: Solve for x
    x = 122,455,949.67/11,620.32
  6. Step 6: Final answer
    x = 10,538.09

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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.