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Finding the Fourth Proportional to 12,057.86, 16,640.42 and 7,277.71

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Solution

The fourth proportional to 12,057.86, 16,640.42 and 7,277.71 is: 10,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.86 : 16,640.42 = 7,277.71 : x
  2. Step 2: Convert to fraction form
    12,057.86/16,640.42 = 7,277.71/x
  3. Step 3: Cross multiply
    12,057.86x = 16,640.42 × 7,277.71
  4. Step 4: Simplify right side
    12,057.86x = 121,104,100.59
  5. Step 5: Solve for x
    x = 121,104,100.59/12,057.86
  6. Step 6: Final answer
    x = 10,043.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.