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Finding the Fourth Proportional to 10,672.90, 14,729.42 and 5,957.88

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Solution

The fourth proportional to 10,672.90, 14,729.42 and 5,957.88 is: 8,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.90 : 14,729.42 = 5,957.88 : x
  2. Step 2: Convert to fraction form
    10,672.90/14,729.42 = 5,957.88/x
  3. Step 3: Cross multiply
    10,672.90x = 14,729.42 × 5,957.88
  4. Step 4: Simplify right side
    10,672.90x = 87,756,116.83
  5. Step 5: Solve for x
    x = 87,756,116.83/10,672.90
  6. Step 6: Final answer
    x = 8,222.33

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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.