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Finding the Fourth Proportional to 7,551.97, 10,422.04 and 4,194.78

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Solution

The fourth proportional to 7,551.97, 10,422.04 and 4,194.78 is: 5,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.97 : 10,422.04 = 4,194.78 : x
  2. Step 2: Convert to fraction form
    7,551.97/10,422.04 = 4,194.78/x
  3. Step 3: Cross multiply
    7,551.97x = 10,422.04 × 4,194.78
  4. Step 4: Simplify right side
    7,551.97x = 43,718,164.95
  5. Step 5: Solve for x
    x = 43,718,164.95/7,551.97
  6. Step 6: Final answer
    x = 5,788.97

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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.