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Finding the Fourth Proportional to 12,263.76, 16,923.38 and 6,958.46

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Solution

The fourth proportional to 12,263.76, 16,923.38 and 6,958.46 is: 9,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.76 : 16,923.38 = 6,958.46 : x
  2. Step 2: Convert to fraction form
    12,263.76/16,923.38 = 6,958.46/x
  3. Step 3: Cross multiply
    12,263.76x = 16,923.38 × 6,958.46
  4. Step 4: Simplify right side
    12,263.76x = 117,760,662.79
  5. Step 5: Solve for x
    x = 117,760,662.79/12,263.76
  6. Step 6: Final answer
    x = 9,602.33

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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.