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Finding the Fourth Proportional to 11,626.02, 16,033.41 and 7,645.74

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Solution

The fourth proportional to 11,626.02, 16,033.41 and 7,645.74 is: 10,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.02 : 16,033.41 = 7,645.74 : x
  2. Step 2: Convert to fraction form
    11,626.02/16,033.41 = 7,645.74/x
  3. Step 3: Cross multiply
    11,626.02x = 16,033.41 × 7,645.74
  4. Step 4: Simplify right side
    11,626.02x = 122,587,284.17
  5. Step 5: Solve for x
    x = 122,587,284.17/11,626.02
  6. Step 6: Final answer
    x = 10,544.22

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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.