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Finding the Fourth Proportional to 11,676.57, 16,113.66 and 7,484.82

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Solution

The fourth proportional to 11,676.57, 16,113.66 and 7,484.82 is: 10,329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.57 : 16,113.66 = 7,484.82 : x
  2. Step 2: Convert to fraction form
    11,676.57/16,113.66 = 7,484.82/x
  3. Step 3: Cross multiply
    11,676.57x = 16,113.66 × 7,484.82
  4. Step 4: Simplify right side
    11,676.57x = 120,607,764.07
  5. Step 5: Solve for x
    x = 120,607,764.07/11,676.57
  6. Step 6: Final answer
    x = 10,329.04

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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.