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Finding the Fourth Proportional to 10,466.92, 14,446.83 and 5,993.25

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Solution

The fourth proportional to 10,466.92, 14,446.83 and 5,993.25 is: 8,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.92 : 14,446.83 = 5,993.25 : x
  2. Step 2: Convert to fraction form
    10,466.92/14,446.83 = 5,993.25/x
  3. Step 3: Cross multiply
    10,466.92x = 14,446.83 × 5,993.25
  4. Step 4: Simplify right side
    10,466.92x = 86,583,463.90
  5. Step 5: Solve for x
    x = 86,583,463.90/10,466.92
  6. Step 6: Final answer
    x = 8,272.11

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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.