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Finding the Fourth Proportional to 10,173.20, 14,041.68 and 6,197

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Solution

The fourth proportional to 10,173.20, 14,041.68 and 6,197 is: 8,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.20 : 14,041.68 = 6,197 : x
  2. Step 2: Convert to fraction form
    10,173.20/14,041.68 = 6,197/x
  3. Step 3: Cross multiply
    10,173.20x = 14,041.68 × 6,197
  4. Step 4: Simplify right side
    10,173.20x = 87,016,290.96
  5. Step 5: Solve for x
    x = 87,016,290.96/10,173.20
  6. Step 6: Final answer
    x = 8,553.48

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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.