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Finding the Fourth Proportional to 10,797, 16,196.04 and 4,950.96

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Solution

The fourth proportional to 10,797, 16,196.04 and 4,950.96 is: 7,426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797 : 16,196.04 = 4,950.96 : x
  2. Step 2: Convert to fraction form
    10,797/16,196.04 = 4,950.96/x
  3. Step 3: Cross multiply
    10,797x = 16,196.04 × 4,950.96
  4. Step 4: Simplify right side
    10,797x = 80,185,946.20
  5. Step 5: Solve for x
    x = 80,185,946.20/10,797
  6. Step 6: Final answer
    x = 7,426.69

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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.