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Finding the Fourth Proportional to 11,193.56, 15,446.63 and 6,157.46

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Solution

The fourth proportional to 11,193.56, 15,446.63 and 6,157.46 is: 8,497.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.56 : 15,446.63 = 6,157.46 : x
  2. Step 2: Convert to fraction form
    11,193.56/15,446.63 = 6,157.46/x
  3. Step 3: Cross multiply
    11,193.56x = 15,446.63 × 6,157.46
  4. Step 4: Simplify right side
    11,193.56x = 95,112,057.06
  5. Step 5: Solve for x
    x = 95,112,057.06/11,193.56
  6. Step 6: Final answer
    x = 8,497.03

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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.