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Finding the Fourth Proportional to 11,121.92, 15,348.12 and 6,406.64

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Solution

The fourth proportional to 11,121.92, 15,348.12 and 6,406.64 is: 8,841.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,121.92 : 15,348.12 = 6,406.64 : x
  2. Step 2: Convert to fraction form
    11,121.92/15,348.12 = 6,406.64/x
  3. Step 3: Cross multiply
    11,121.92x = 15,348.12 × 6,406.64
  4. Step 4: Simplify right side
    11,121.92x = 98,329,879.52
  5. Step 5: Solve for x
    x = 98,329,879.52/11,121.92
  6. Step 6: Final answer
    x = 8,841.09

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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.