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Finding the Fourth Proportional to 11,849.68, 16,354.71 and 7,069.96

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Solution

The fourth proportional to 11,849.68, 16,354.71 and 7,069.96 is: 9,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.68 : 16,354.71 = 7,069.96 : x
  2. Step 2: Convert to fraction form
    11,849.68/16,354.71 = 7,069.96/x
  3. Step 3: Cross multiply
    11,849.68x = 16,354.71 × 7,069.96
  4. Step 4: Simplify right side
    11,849.68x = 115,627,028.39
  5. Step 5: Solve for x
    x = 115,627,028.39/11,849.68
  6. Step 6: Final answer
    x = 9,757.82

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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.