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Finding the Fourth Proportional to 10,285.94, 14,194.49 and 5,809.67

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Solution

The fourth proportional to 10,285.94, 14,194.49 and 5,809.67 is: 8,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.94 : 14,194.49 = 5,809.67 : x
  2. Step 2: Convert to fraction form
    10,285.94/14,194.49 = 5,809.67/x
  3. Step 3: Cross multiply
    10,285.94x = 14,194.49 × 5,809.67
  4. Step 4: Simplify right side
    10,285.94x = 82,465,309.16
  5. Step 5: Solve for x
    x = 82,465,309.16/10,285.94
  6. Step 6: Final answer
    x = 8,017.29

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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.