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Finding the Fourth Proportional to 11,578.49, 17,365.70 and 3,256.53

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Solution

The fourth proportional to 11,578.49, 17,365.70 and 3,256.53 is: 4,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.49 : 17,365.70 = 3,256.53 : x
  2. Step 2: Convert to fraction form
    11,578.49/17,365.70 = 3,256.53/x
  3. Step 3: Cross multiply
    11,578.49x = 17,365.70 × 3,256.53
  4. Step 4: Simplify right side
    11,578.49x = 56,551,923.02
  5. Step 5: Solve for x
    x = 56,551,923.02/11,578.49
  6. Step 6: Final answer
    x = 4,884.22

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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.