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Finding the Fourth Proportional to 11,546.30, 15,933.83 and 6,241.11

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Solution

The fourth proportional to 11,546.30, 15,933.83 and 6,241.11 is: 8,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.30 : 15,933.83 = 6,241.11 : x
  2. Step 2: Convert to fraction form
    11,546.30/15,933.83 = 6,241.11/x
  3. Step 3: Cross multiply
    11,546.30x = 15,933.83 × 6,241.11
  4. Step 4: Simplify right side
    11,546.30x = 99,444,754.55
  5. Step 5: Solve for x
    x = 99,444,754.55/11,546.30
  6. Step 6: Final answer
    x = 8,612.70

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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.