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Finding the Fourth Proportional to 11,627.71, 16,050.45 and 7,157.44

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Solution

The fourth proportional to 11,627.71, 16,050.45 and 7,157.44 is: 9,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.71 : 16,050.45 = 7,157.44 : x
  2. Step 2: Convert to fraction form
    11,627.71/16,050.45 = 7,157.44/x
  3. Step 3: Cross multiply
    11,627.71x = 16,050.45 × 7,157.44
  4. Step 4: Simplify right side
    11,627.71x = 114,880,132.85
  5. Step 5: Solve for x
    x = 114,880,132.85/11,627.71
  6. Step 6: Final answer
    x = 9,879.86

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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.