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Finding the Fourth Proportional to 11,465.38, 17,214 and 5,922.82

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Solution

The fourth proportional to 11,465.38, 17,214 and 5,922.82 is: 8,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.38 : 17,214 = 5,922.82 : x
  2. Step 2: Convert to fraction form
    11,465.38/17,214 = 5,922.82/x
  3. Step 3: Cross multiply
    11,465.38x = 17,214 × 5,922.82
  4. Step 4: Simplify right side
    11,465.38x = 101,955,423.48
  5. Step 5: Solve for x
    x = 101,955,423.48/11,465.38
  6. Step 6: Final answer
    x = 8,892.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.