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Finding the Fourth Proportional to 11,770.71, 16,243.68 and 6,465.64

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Solution

The fourth proportional to 11,770.71, 16,243.68 and 6,465.64 is: 8,922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.71 : 16,243.68 = 6,465.64 : x
  2. Step 2: Convert to fraction form
    11,770.71/16,243.68 = 6,465.64/x
  3. Step 3: Cross multiply
    11,770.71x = 16,243.68 × 6,465.64
  4. Step 4: Simplify right side
    11,770.71x = 105,025,787.16
  5. Step 5: Solve for x
    x = 105,025,787.16/11,770.71
  6. Step 6: Final answer
    x = 8,922.64

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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.