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Finding the Fourth Proportional to 7,546.84, 10,414.66 and 4,189.58

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Solution

The fourth proportional to 7,546.84, 10,414.66 and 4,189.58 is: 5,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.84 : 10,414.66 = 4,189.58 : x
  2. Step 2: Convert to fraction form
    7,546.84/10,414.66 = 4,189.58/x
  3. Step 3: Cross multiply
    7,546.84x = 10,414.66 × 4,189.58
  4. Step 4: Simplify right side
    7,546.84x = 43,633,051.24
  5. Step 5: Solve for x
    x = 43,633,051.24/7,546.84
  6. Step 6: Final answer
    x = 5,781.63

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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.