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Finding the Fourth Proportional to 7,708.38, 11,551.41 and 4,195.41

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Solution

The fourth proportional to 7,708.38, 11,551.41 and 4,195.41 is: 6,287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.38 : 11,551.41 = 4,195.41 : x
  2. Step 2: Convert to fraction form
    7,708.38/11,551.41 = 4,195.41/x
  3. Step 3: Cross multiply
    7,708.38x = 11,551.41 × 4,195.41
  4. Step 4: Simplify right side
    7,708.38x = 48,462,901.03
  5. Step 5: Solve for x
    x = 48,462,901.03/7,708.38
  6. Step 6: Final answer
    x = 6,287.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.