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Finding the Fourth Proportional to 7,635.97, 10,537.63 and 4,651.81

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Solution

The fourth proportional to 7,635.97, 10,537.63 and 4,651.81 is: 6,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.97 : 10,537.63 = 4,651.81 : x
  2. Step 2: Convert to fraction form
    7,635.97/10,537.63 = 4,651.81/x
  3. Step 3: Cross multiply
    7,635.97x = 10,537.63 × 4,651.81
  4. Step 4: Simplify right side
    7,635.97x = 49,019,042.54
  5. Step 5: Solve for x
    x = 49,019,042.54/7,635.97
  6. Step 6: Final answer
    x = 6,419.49

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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.