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Finding the Fourth Proportional to 10,729.89, 16,097.94 and 4,486.68

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Solution

The fourth proportional to 10,729.89, 16,097.94 and 4,486.68 is: 6,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.89 : 16,097.94 = 4,486.68 : x
  2. Step 2: Convert to fraction form
    10,729.89/16,097.94 = 4,486.68/x
  3. Step 3: Cross multiply
    10,729.89x = 16,097.94 × 4,486.68
  4. Step 4: Simplify right side
    10,729.89x = 72,226,305.44
  5. Step 5: Solve for x
    x = 72,226,305.44/10,729.89
  6. Step 6: Final answer
    x = 6,731.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.