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Finding the Fourth Proportional to 10,269.21, 14,171.44 and 5,793

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Solution

The fourth proportional to 10,269.21, 14,171.44 and 5,793 is: 7,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.21 : 14,171.44 = 5,793 : x
  2. Step 2: Convert to fraction form
    10,269.21/14,171.44 = 5,793/x
  3. Step 3: Cross multiply
    10,269.21x = 14,171.44 × 5,793
  4. Step 4: Simplify right side
    10,269.21x = 82,095,151.92
  5. Step 5: Solve for x
    x = 82,095,151.92/10,269.21
  6. Step 6: Final answer
    x = 7,994.30

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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.