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Finding the Fourth Proportional to 11,738.57, 16,195.19 and 6,957.55

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Solution

The fourth proportional to 11,738.57, 16,195.19 and 6,957.55 is: 9,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.57 : 16,195.19 = 6,957.55 : x
  2. Step 2: Convert to fraction form
    11,738.57/16,195.19 = 6,957.55/x
  3. Step 3: Cross multiply
    11,738.57x = 16,195.19 × 6,957.55
  4. Step 4: Simplify right side
    11,738.57x = 112,678,821.09
  5. Step 5: Solve for x
    x = 112,678,821.09/11,738.57
  6. Step 6: Final answer
    x = 9,599.02

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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.