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Finding the Fourth Proportional to 11,542.94, 17,328.77 and 8,055.13

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Solution

The fourth proportional to 11,542.94, 17,328.77 and 8,055.13 is: 12,092.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.94 : 17,328.77 = 8,055.13 : x
  2. Step 2: Convert to fraction form
    11,542.94/17,328.77 = 8,055.13/x
  3. Step 3: Cross multiply
    11,542.94x = 17,328.77 × 8,055.13
  4. Step 4: Simplify right side
    11,542.94x = 139,585,495.09
  5. Step 5: Solve for x
    x = 139,585,495.09/11,542.94
  6. Step 6: Final answer
    x = 12,092.72

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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.