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Finding the Fourth Proportional to 7,634.12, 10,531.82 and 4,447.17

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Solution

The fourth proportional to 7,634.12, 10,531.82 and 4,447.17 is: 6,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.12 : 10,531.82 = 4,447.17 : x
  2. Step 2: Convert to fraction form
    7,634.12/10,531.82 = 4,447.17/x
  3. Step 3: Cross multiply
    7,634.12x = 10,531.82 × 4,447.17
  4. Step 4: Simplify right side
    7,634.12x = 46,836,805.07
  5. Step 5: Solve for x
    x = 46,836,805.07/7,634.12
  6. Step 6: Final answer
    x = 6,135.20

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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.