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Finding the Fourth Proportional to 11,706.47, 16,168.24 and 7,871.43

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Solution

The fourth proportional to 11,706.47, 16,168.24 and 7,871.43 is: 10,871.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.47 : 16,168.24 = 7,871.43 : x
  2. Step 2: Convert to fraction form
    11,706.47/16,168.24 = 7,871.43/x
  3. Step 3: Cross multiply
    11,706.47x = 16,168.24 × 7,871.43
  4. Step 4: Simplify right side
    11,706.47x = 127,267,195.58
  5. Step 5: Solve for x
    x = 127,267,195.58/11,706.47
  6. Step 6: Final answer
    x = 10,871.53

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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.