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Finding the Fourth Proportional to 7,546.85, 10,414.17 and 4,714.05

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Solution

The fourth proportional to 7,546.85, 10,414.17 and 4,714.05 is: 6,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.85 : 10,414.17 = 4,714.05 : x
  2. Step 2: Convert to fraction form
    7,546.85/10,414.17 = 4,714.05/x
  3. Step 3: Cross multiply
    7,546.85x = 10,414.17 × 4,714.05
  4. Step 4: Simplify right side
    7,546.85x = 49,092,918.09
  5. Step 5: Solve for x
    x = 49,092,918.09/7,546.85
  6. Step 6: Final answer
    x = 6,505.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.