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Finding the Fourth Proportional to 11,803.56, 16,288.89 and 7,087.83

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Solution

The fourth proportional to 11,803.56, 16,288.89 and 7,087.83 is: 9,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.56 : 16,288.89 = 7,087.83 : x
  2. Step 2: Convert to fraction form
    11,803.56/16,288.89 = 7,087.83/x
  3. Step 3: Cross multiply
    11,803.56x = 16,288.89 × 7,087.83
  4. Step 4: Simplify right side
    11,803.56x = 115,452,883.21
  5. Step 5: Solve for x
    x = 115,452,883.21/11,803.56
  6. Step 6: Final answer
    x = 9,781.19

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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.