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Finding the Fourth Proportional to 7,676.06, 11,514.10 and 2,410.88

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Solution

The fourth proportional to 7,676.06, 11,514.10 and 2,410.88 is: 3,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.06 : 11,514.10 = 2,410.88 : x
  2. Step 2: Convert to fraction form
    7,676.06/11,514.10 = 2,410.88/x
  3. Step 3: Cross multiply
    7,676.06x = 11,514.10 × 2,410.88
  4. Step 4: Simplify right side
    7,676.06x = 27,759,113.41
  5. Step 5: Solve for x
    x = 27,759,113.41/7,676.06
  6. Step 6: Final answer
    x = 3,616.32

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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.