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Finding the Fourth Proportional to 11,634.71, 17,457.93 and 5,387.72

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Solution

The fourth proportional to 11,634.71, 17,457.93 and 5,387.72 is: 8,084.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.71 : 17,457.93 = 5,387.72 : x
  2. Step 2: Convert to fraction form
    11,634.71/17,457.93 = 5,387.72/x
  3. Step 3: Cross multiply
    11,634.71x = 17,457.93 × 5,387.72
  4. Step 4: Simplify right side
    11,634.71x = 94,058,351.33
  5. Step 5: Solve for x
    x = 94,058,351.33/11,634.71
  6. Step 6: Final answer
    x = 8,084.29

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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.