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Finding the Fourth Proportional to 10,366.50, 14,306.14 and 5,890.44

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Solution

The fourth proportional to 10,366.50, 14,306.14 and 5,890.44 is: 8,129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.50 : 14,306.14 = 5,890.44 : x
  2. Step 2: Convert to fraction form
    10,366.50/14,306.14 = 5,890.44/x
  3. Step 3: Cross multiply
    10,366.50x = 14,306.14 × 5,890.44
  4. Step 4: Simplify right side
    10,366.50x = 84,269,459.30
  5. Step 5: Solve for x
    x = 84,269,459.30/10,366.50
  6. Step 6: Final answer
    x = 8,129.02

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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.