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Finding the Fourth Proportional to 11,770.38, 16,243.20 and 6,465.15

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Solution

The fourth proportional to 11,770.38, 16,243.20 and 6,465.15 is: 8,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.38 : 16,243.20 = 6,465.15 : x
  2. Step 2: Convert to fraction form
    11,770.38/16,243.20 = 6,465.15/x
  3. Step 3: Cross multiply
    11,770.38x = 16,243.20 × 6,465.15
  4. Step 4: Simplify right side
    11,770.38x = 105,014,724.48
  5. Step 5: Solve for x
    x = 105,014,724.48/11,770.38
  6. Step 6: Final answer
    x = 8,921.95

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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.