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Finding the Fourth Proportional to 10,729.66, 14,804.52 and 6,481.42

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Solution

The fourth proportional to 10,729.66, 14,804.52 and 6,481.42 is: 8,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.66 : 14,804.52 = 6,481.42 : x
  2. Step 2: Convert to fraction form
    10,729.66/14,804.52 = 6,481.42/x
  3. Step 3: Cross multiply
    10,729.66x = 14,804.52 × 6,481.42
  4. Step 4: Simplify right side
    10,729.66x = 95,954,312.02
  5. Step 5: Solve for x
    x = 95,954,312.02/10,729.66
  6. Step 6: Final answer
    x = 8,942.90

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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.