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Finding the Fourth Proportional to 11,770.95, 16,243.38 and 6,465.84

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Solution

The fourth proportional to 11,770.95, 16,243.38 and 6,465.84 is: 8,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.95 : 16,243.38 = 6,465.84 : x
  2. Step 2: Convert to fraction form
    11,770.95/16,243.38 = 6,465.84/x
  3. Step 3: Cross multiply
    11,770.95x = 16,243.38 × 6,465.84
  4. Step 4: Simplify right side
    11,770.95x = 105,027,096.14
  5. Step 5: Solve for x
    x = 105,027,096.14/11,770.95
  6. Step 6: Final answer
    x = 8,922.57

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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.