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Finding the Fourth Proportional to 11,696.40, 16,154.44 and 8,523.83

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Solution

The fourth proportional to 11,696.40, 16,154.44 and 8,523.83 is: 11,772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.40 : 16,154.44 = 8,523.83 : x
  2. Step 2: Convert to fraction form
    11,696.40/16,154.44 = 8,523.83/x
  3. Step 3: Cross multiply
    11,696.40x = 16,154.44 × 8,523.83
  4. Step 4: Simplify right side
    11,696.40x = 137,697,719.38
  5. Step 5: Solve for x
    x = 137,697,719.38/11,696.40
  6. Step 6: Final answer
    x = 11,772.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.