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Finding the Fourth Proportional to 10,116.80, 13,961.03 and 5,640.83

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Solution

The fourth proportional to 10,116.80, 13,961.03 and 5,640.83 is: 7,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.80 : 13,961.03 = 5,640.83 : x
  2. Step 2: Convert to fraction form
    10,116.80/13,961.03 = 5,640.83/x
  3. Step 3: Cross multiply
    10,116.80x = 13,961.03 × 5,640.83
  4. Step 4: Simplify right side
    10,116.80x = 78,751,698.85
  5. Step 5: Solve for x
    x = 78,751,698.85/10,116.80
  6. Step 6: Final answer
    x = 7,784.25

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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.