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Finding the Fourth Proportional to 10,353, 14,286.24 and 5,876.94

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Solution

The fourth proportional to 10,353, 14,286.24 and 5,876.94 is: 8,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353 : 14,286.24 = 5,876.94 : x
  2. Step 2: Convert to fraction form
    10,353/14,286.24 = 5,876.94/x
  3. Step 3: Cross multiply
    10,353x = 14,286.24 × 5,876.94
  4. Step 4: Simplify right side
    10,353x = 83,959,375.31
  5. Step 5: Solve for x
    x = 83,959,375.31/10,353
  6. Step 6: Final answer
    x = 8,109.67

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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.