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Finding the Fourth Proportional to 11,977.22, 16,512.46 and 8,387.35

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Solution

The fourth proportional to 11,977.22, 16,512.46 and 8,387.35 is: 11,563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.22 : 16,512.46 = 8,387.35 : x
  2. Step 2: Convert to fraction form
    11,977.22/16,512.46 = 8,387.35/x
  3. Step 3: Cross multiply
    11,977.22x = 16,512.46 × 8,387.35
  4. Step 4: Simplify right side
    11,977.22x = 138,495,719.13
  5. Step 5: Solve for x
    x = 138,495,719.13/11,977.22
  6. Step 6: Final answer
    x = 11,563.26

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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.