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Finding the Fourth Proportional to 11,495.86, 17,242.49 and 3,177.06

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Solution

The fourth proportional to 11,495.86, 17,242.49 and 3,177.06 is: 4,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.86 : 17,242.49 = 3,177.06 : x
  2. Step 2: Convert to fraction form
    11,495.86/17,242.49 = 3,177.06/x
  3. Step 3: Cross multiply
    11,495.86x = 17,242.49 × 3,177.06
  4. Step 4: Simplify right side
    11,495.86x = 54,780,425.28
  5. Step 5: Solve for x
    x = 54,780,425.28/11,495.86
  6. Step 6: Final answer
    x = 4,765.23

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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.