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Finding the Fourth Proportional to 11,438.96, 17,158.44 and 7,542.45

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Solution

The fourth proportional to 11,438.96, 17,158.44 and 7,542.45 is: 11,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.96 : 17,158.44 = 7,542.45 : x
  2. Step 2: Convert to fraction form
    11,438.96/17,158.44 = 7,542.45/x
  3. Step 3: Cross multiply
    11,438.96x = 17,158.44 × 7,542.45
  4. Step 4: Simplify right side
    11,438.96x = 129,416,675.78
  5. Step 5: Solve for x
    x = 129,416,675.78/11,438.96
  6. Step 6: Final answer
    x = 11,313.68

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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.