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Finding the Fourth Proportional to 11,537.40, 17,306.10 and 10,662.60

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Solution

The fourth proportional to 11,537.40, 17,306.10 and 10,662.60 is: 15,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.40 : 17,306.10 = 10,662.60 : x
  2. Step 2: Convert to fraction form
    11,537.40/17,306.10 = 10,662.60/x
  3. Step 3: Cross multiply
    11,537.40x = 17,306.10 × 10,662.60
  4. Step 4: Simplify right side
    11,537.40x = 184,528,021.86
  5. Step 5: Solve for x
    x = 184,528,021.86/11,537.40
  6. Step 6: Final answer
    x = 15,993.90

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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.