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Finding the Fourth Proportional to 7,676.54, 11,513.66 and 2,129.30

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Solution

The fourth proportional to 7,676.54, 11,513.66 and 2,129.30 is: 3,193.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.54 : 11,513.66 = 2,129.30 : x
  2. Step 2: Convert to fraction form
    7,676.54/11,513.66 = 2,129.30/x
  3. Step 3: Cross multiply
    7,676.54x = 11,513.66 × 2,129.30
  4. Step 4: Simplify right side
    7,676.54x = 24,516,036.24
  5. Step 5: Solve for x
    x = 24,516,036.24/7,676.54
  6. Step 6: Final answer
    x = 3,193.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.