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Finding the Fourth Proportional to 11,676.06, 16,112.97 and 7,484.31

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Solution

The fourth proportional to 11,676.06, 16,112.97 and 7,484.31 is: 10,328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.06 : 16,112.97 = 7,484.31 : x
  2. Step 2: Convert to fraction form
    11,676.06/16,112.97 = 7,484.31/x
  3. Step 3: Cross multiply
    11,676.06x = 16,112.97 × 7,484.31
  4. Step 4: Simplify right side
    11,676.06x = 120,594,462.50
  5. Step 5: Solve for x
    x = 120,594,462.50/11,676.06
  6. Step 6: Final answer
    x = 10,328.35

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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.