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Finding the Fourth Proportional to 7,676.46, 11,513 and 2,746.44

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Solution

The fourth proportional to 7,676.46, 11,513 and 2,746.44 is: 4,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.46 : 11,513 = 2,746.44 : x
  2. Step 2: Convert to fraction form
    7,676.46/11,513 = 2,746.44/x
  3. Step 3: Cross multiply
    7,676.46x = 11,513 × 2,746.44
  4. Step 4: Simplify right side
    7,676.46x = 31,619,763.72
  5. Step 5: Solve for x
    x = 31,619,763.72/7,676.46
  6. Step 6: Final answer
    x = 4,119.06

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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.