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Finding the Fourth Proportional to 7,327.67, 10,113.03 and 4,142.24

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Solution

The fourth proportional to 7,327.67, 10,113.03 and 4,142.24 is: 5,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327.67 : 10,113.03 = 4,142.24 : x
  2. Step 2: Convert to fraction form
    7,327.67/10,113.03 = 4,142.24/x
  3. Step 3: Cross multiply
    7,327.67x = 10,113.03 × 4,142.24
  4. Step 4: Simplify right side
    7,327.67x = 41,890,597.39
  5. Step 5: Solve for x
    x = 41,890,597.39/7,327.67
  6. Step 6: Final answer
    x = 5,716.77

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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.