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Finding the Fourth Proportional to 11,593.12, 15,993.84 and 7,400.56

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Solution

The fourth proportional to 11,593.12, 15,993.84 and 7,400.56 is: 10,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.12 : 15,993.84 = 7,400.56 : x
  2. Step 2: Convert to fraction form
    11,593.12/15,993.84 = 7,400.56/x
  3. Step 3: Cross multiply
    11,593.12x = 15,993.84 × 7,400.56
  4. Step 4: Simplify right side
    11,593.12x = 118,363,372.55
  5. Step 5: Solve for x
    x = 118,363,372.55/11,593.12
  6. Step 6: Final answer
    x = 10,209.79

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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.