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Finding the Fourth Proportional to 10,311.95, 14,194.37 and 8,983.35

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Solution

The fourth proportional to 10,311.95, 14,194.37 and 8,983.35 is: 12,365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.95 : 14,194.37 = 8,983.35 : x
  2. Step 2: Convert to fraction form
    10,311.95/14,194.37 = 8,983.35/x
  3. Step 3: Cross multiply
    10,311.95x = 14,194.37 × 8,983.35
  4. Step 4: Simplify right side
    10,311.95x = 127,512,993.74
  5. Step 5: Solve for x
    x = 127,512,993.74/10,311.95
  6. Step 6: Final answer
    x = 12,365.56

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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.