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Finding the Fourth Proportional to 11,321.83, 15,620.97 and 7,077.16

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Solution

The fourth proportional to 11,321.83, 15,620.97 and 7,077.16 is: 9,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.83 : 15,620.97 = 7,077.16 : x
  2. Step 2: Convert to fraction form
    11,321.83/15,620.97 = 7,077.16/x
  3. Step 3: Cross multiply
    11,321.83x = 15,620.97 × 7,077.16
  4. Step 4: Simplify right side
    11,321.83x = 110,552,104.05
  5. Step 5: Solve for x
    x = 110,552,104.05/11,321.83
  6. Step 6: Final answer
    x = 9,764.51

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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.