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Finding the Fourth Proportional to 11,596.74, 15,993.63 and 8,068.38

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Solution

The fourth proportional to 11,596.74, 15,993.63 and 8,068.38 is: 11,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.74 : 15,993.63 = 8,068.38 : x
  2. Step 2: Convert to fraction form
    11,596.74/15,993.63 = 8,068.38/x
  3. Step 3: Cross multiply
    11,596.74x = 15,993.63 × 8,068.38
  4. Step 4: Simplify right side
    11,596.74x = 129,042,684.42
  5. Step 5: Solve for x
    x = 129,042,684.42/11,596.74
  6. Step 6: Final answer
    x = 11,127.50

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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.