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Finding the Fourth Proportional to 11,367.14, 17,066.65 and 5,824.46

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Solution

The fourth proportional to 11,367.14, 17,066.65 and 5,824.46 is: 8,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367.14 : 17,066.65 = 5,824.46 : x
  2. Step 2: Convert to fraction form
    11,367.14/17,066.65 = 5,824.46/x
  3. Step 3: Cross multiply
    11,367.14x = 17,066.65 × 5,824.46
  4. Step 4: Simplify right side
    11,367.14x = 99,403,963.29
  5. Step 5: Solve for x
    x = 99,403,963.29/11,367.14
  6. Step 6: Final answer
    x = 8,744.86

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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.