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Finding the Fourth Proportional to 7,493.61, 11,241.63 and 2,813.98

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Solution

The fourth proportional to 7,493.61, 11,241.63 and 2,813.98 is: 4,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.61 : 11,241.63 = 2,813.98 : x
  2. Step 2: Convert to fraction form
    7,493.61/11,241.63 = 2,813.98/x
  3. Step 3: Cross multiply
    7,493.61x = 11,241.63 × 2,813.98
  4. Step 4: Simplify right side
    7,493.61x = 31,633,693.88
  5. Step 5: Solve for x
    x = 31,633,693.88/7,493.61
  6. Step 6: Final answer
    x = 4,221.42

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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.