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Finding the Fourth Proportional to 11,770.40, 16,243.24 and 6,465.70

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Solution

The fourth proportional to 11,770.40, 16,243.24 and 6,465.70 is: 8,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.40 : 16,243.24 = 6,465.70 : x
  2. Step 2: Convert to fraction form
    11,770.40/16,243.24 = 6,465.70/x
  3. Step 3: Cross multiply
    11,770.40x = 16,243.24 × 6,465.70
  4. Step 4: Simplify right side
    11,770.40x = 105,023,916.87
  5. Step 5: Solve for x
    x = 105,023,916.87/11,770.40
  6. Step 6: Final answer
    x = 8,922.71

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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.