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Finding the Fourth Proportional to 11,546.36, 15,933.48 and 7,077.68

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Solution

The fourth proportional to 11,546.36, 15,933.48 and 7,077.68 is: 9,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.36 : 15,933.48 = 7,077.68 : x
  2. Step 2: Convert to fraction form
    11,546.36/15,933.48 = 7,077.68/x
  3. Step 3: Cross multiply
    11,546.36x = 15,933.48 × 7,077.68
  4. Step 4: Simplify right side
    11,546.36x = 112,772,072.73
  5. Step 5: Solve for x
    x = 112,772,072.73/11,546.36
  6. Step 6: Final answer
    x = 9,766.89

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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.