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Finding the Fourth Proportional to 11,870.56, 16,383.88 and 9,879.16

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Solution

The fourth proportional to 11,870.56, 16,383.88 and 9,879.16 is: 13,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.56 : 16,383.88 = 9,879.16 : x
  2. Step 2: Convert to fraction form
    11,870.56/16,383.88 = 9,879.16/x
  3. Step 3: Cross multiply
    11,870.56x = 16,383.88 × 9,879.16
  4. Step 4: Simplify right side
    11,870.56x = 161,858,971.94
  5. Step 5: Solve for x
    x = 161,858,971.94/11,870.56
  6. Step 6: Final answer
    x = 13,635.33

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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.