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Finding the Fourth Proportional to 11,427.68, 17,124.96 and 5,577.68

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Solution

The fourth proportional to 11,427.68, 17,124.96 and 5,577.68 is: 8,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.68 : 17,124.96 = 5,577.68 : x
  2. Step 2: Convert to fraction form
    11,427.68/17,124.96 = 5,577.68/x
  3. Step 3: Cross multiply
    11,427.68x = 17,124.96 × 5,577.68
  4. Step 4: Simplify right side
    11,427.68x = 95,517,546.89
  5. Step 5: Solve for x
    x = 95,517,546.89/11,427.68
  6. Step 6: Final answer
    x = 8,358.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.