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Finding the Fourth Proportional to 11,434.36, 17,154.78 and 5,891.74

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Solution

The fourth proportional to 11,434.36, 17,154.78 and 5,891.74 is: 8,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.36 : 17,154.78 = 5,891.74 : x
  2. Step 2: Convert to fraction form
    11,434.36/17,154.78 = 5,891.74/x
  3. Step 3: Cross multiply
    11,434.36x = 17,154.78 × 5,891.74
  4. Step 4: Simplify right side
    11,434.36x = 101,071,503.52
  5. Step 5: Solve for x
    x = 101,071,503.52/11,434.36
  6. Step 6: Final answer
    x = 8,839.28

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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.