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Finding the Fourth Proportional to 7,676.32, 11,516.76 and 2,482.08

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Solution

The fourth proportional to 7,676.32, 11,516.76 and 2,482.08 is: 3,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.32 : 11,516.76 = 2,482.08 : x
  2. Step 2: Convert to fraction form
    7,676.32/11,516.76 = 2,482.08/x
  3. Step 3: Cross multiply
    7,676.32x = 11,516.76 × 2,482.08
  4. Step 4: Simplify right side
    7,676.32x = 28,585,519.66
  5. Step 5: Solve for x
    x = 28,585,519.66/7,676.32
  6. Step 6: Final answer
    x = 3,723.86

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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.