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Finding the Fourth Proportional to 11,620.86, 16,033.57 and 7,643.28

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Solution

The fourth proportional to 11,620.86, 16,033.57 and 7,643.28 is: 10,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.86 : 16,033.57 = 7,643.28 : x
  2. Step 2: Convert to fraction form
    11,620.86/16,033.57 = 7,643.28/x
  3. Step 3: Cross multiply
    11,620.86x = 16,033.57 × 7,643.28
  4. Step 4: Simplify right side
    11,620.86x = 122,549,064.91
  5. Step 5: Solve for x
    x = 122,549,064.91/11,620.86
  6. Step 6: Final answer
    x = 10,545.61

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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.