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Finding the Fourth Proportional to 11,578.89, 17,364.71 and 4,182.38

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Solution

The fourth proportional to 11,578.89, 17,364.71 and 4,182.38 is: 6,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.89 : 17,364.71 = 4,182.38 : x
  2. Step 2: Convert to fraction form
    11,578.89/17,364.71 = 4,182.38/x
  3. Step 3: Cross multiply
    11,578.89x = 17,364.71 × 4,182.38
  4. Step 4: Simplify right side
    11,578.89x = 72,625,708.07
  5. Step 5: Solve for x
    x = 72,625,708.07/11,578.89
  6. Step 6: Final answer
    x = 6,272.25

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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.