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Finding the Fourth Proportional to 7,546.79, 10,414.62 and 4,189.91

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Solution

The fourth proportional to 7,546.79, 10,414.62 and 4,189.91 is: 5,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.79 : 10,414.62 = 4,189.91 : x
  2. Step 2: Convert to fraction form
    7,546.79/10,414.62 = 4,189.91/x
  3. Step 3: Cross multiply
    7,546.79x = 10,414.62 × 4,189.91
  4. Step 4: Simplify right side
    7,546.79x = 43,636,268.41
  5. Step 5: Solve for x
    x = 43,636,268.41/7,546.79
  6. Step 6: Final answer
    x = 5,782.10

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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.