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Finding the Fourth Proportional to 7,546.90, 10,414.83 and 4,562.20

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Solution

The fourth proportional to 7,546.90, 10,414.83 and 4,562.20 is: 6,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.90 : 10,414.83 = 4,562.20 : x
  2. Step 2: Convert to fraction form
    7,546.90/10,414.83 = 4,562.20/x
  3. Step 3: Cross multiply
    7,546.90x = 10,414.83 × 4,562.20
  4. Step 4: Simplify right side
    7,546.90x = 47,514,537.43
  5. Step 5: Solve for x
    x = 47,514,537.43/7,546.90
  6. Step 6: Final answer
    x = 6,295.90

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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.