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Finding the Fourth Proportional to 11,157.90, 16,735.29 and 6,169.47

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Solution

The fourth proportional to 11,157.90, 16,735.29 and 6,169.47 is: 9,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.90 : 16,735.29 = 6,169.47 : x
  2. Step 2: Convert to fraction form
    11,157.90/16,735.29 = 6,169.47/x
  3. Step 3: Cross multiply
    11,157.90x = 16,735.29 × 6,169.47
  4. Step 4: Simplify right side
    11,157.90x = 103,247,869.60
  5. Step 5: Solve for x
    x = 103,247,869.60/11,157.90
  6. Step 6: Final answer
    x = 9,253.34

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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.