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Finding the Fourth Proportional to 11,676.96, 16,112.40 and 6,708

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Solution

The fourth proportional to 11,676.96, 16,112.40 and 6,708 is: 9,256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.96 : 16,112.40 = 6,708 : x
  2. Step 2: Convert to fraction form
    11,676.96/16,112.40 = 6,708/x
  3. Step 3: Cross multiply
    11,676.96x = 16,112.40 × 6,708
  4. Step 4: Simplify right side
    11,676.96x = 108,081,979.20
  5. Step 5: Solve for x
    x = 108,081,979.20/11,676.96
  6. Step 6: Final answer
    x = 9,256.00

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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.