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Finding the Fourth Proportional to 10,912.34, 16,368.55 and 4,338.50

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Solution

The fourth proportional to 10,912.34, 16,368.55 and 4,338.50 is: 6,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.34 : 16,368.55 = 4,338.50 : x
  2. Step 2: Convert to fraction form
    10,912.34/16,368.55 = 4,338.50/x
  3. Step 3: Cross multiply
    10,912.34x = 16,368.55 × 4,338.50
  4. Step 4: Simplify right side
    10,912.34x = 71,014,861.49
  5. Step 5: Solve for x
    x = 71,014,861.49/10,912.34
  6. Step 6: Final answer
    x = 6,507.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.