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Finding the Fourth Proportional to 7,573.80, 11,346.62 and 4,113.96

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Solution

The fourth proportional to 7,573.80, 11,346.62 and 4,113.96 is: 6,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.80 : 11,346.62 = 4,113.96 : x
  2. Step 2: Convert to fraction form
    7,573.80/11,346.62 = 4,113.96/x
  3. Step 3: Cross multiply
    7,573.80x = 11,346.62 × 4,113.96
  4. Step 4: Simplify right side
    7,573.80x = 46,679,540.82
  5. Step 5: Solve for x
    x = 46,679,540.82/7,573.80
  6. Step 6: Final answer
    x = 6,163.29

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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.