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Finding the Fourth Proportional to 11,871.94, 16,378.33 and 7,387.92

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Solution

The fourth proportional to 11,871.94, 16,378.33 and 7,387.92 is: 10,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.94 : 16,378.33 = 7,387.92 : x
  2. Step 2: Convert to fraction form
    11,871.94/16,378.33 = 7,387.92/x
  3. Step 3: Cross multiply
    11,871.94x = 16,378.33 × 7,387.92
  4. Step 4: Simplify right side
    11,871.94x = 121,001,791.77
  5. Step 5: Solve for x
    x = 121,001,791.77/11,871.94
  6. Step 6: Final answer
    x = 10,192.25

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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.