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Finding the Fourth Proportional to 11,589.21, 17,376.39 and 7,635.87

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Solution

The fourth proportional to 11,589.21, 17,376.39 and 7,635.87 is: 11,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.21 : 17,376.39 = 7,635.87 : x
  2. Step 2: Convert to fraction form
    11,589.21/17,376.39 = 7,635.87/x
  3. Step 3: Cross multiply
    11,589.21x = 17,376.39 × 7,635.87
  4. Step 4: Simplify right side
    11,589.21x = 132,683,855.11
  5. Step 5: Solve for x
    x = 132,683,855.11/11,589.21
  6. Step 6: Final answer
    x = 11,448.91

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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.