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Finding the Fourth Proportional to 11,627.57, 16,018.92 and 8,084.63

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Solution

The fourth proportional to 11,627.57, 16,018.92 and 8,084.63 is: 11,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.57 : 16,018.92 = 8,084.63 : x
  2. Step 2: Convert to fraction form
    11,627.57/16,018.92 = 8,084.63/x
  3. Step 3: Cross multiply
    11,627.57x = 16,018.92 × 8,084.63
  4. Step 4: Simplify right side
    11,627.57x = 129,507,081.25
  5. Step 5: Solve for x
    x = 129,507,081.25/11,627.57
  6. Step 6: Final answer
    x = 11,137.93

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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.