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Finding the Fourth Proportional to 7,714.90, 11,576.55 and 4,204.70

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Solution

The fourth proportional to 7,714.90, 11,576.55 and 4,204.70 is: 6,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.90 : 11,576.55 = 4,204.70 : x
  2. Step 2: Convert to fraction form
    7,714.90/11,576.55 = 4,204.70/x
  3. Step 3: Cross multiply
    7,714.90x = 11,576.55 × 4,204.70
  4. Step 4: Simplify right side
    7,714.90x = 48,675,919.79
  5. Step 5: Solve for x
    x = 48,675,919.79/7,714.90
  6. Step 6: Final answer
    x = 6,309.34

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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.