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Finding the Fourth Proportional to 10,832.52, 16,241.78 and 7,123.52

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Solution

The fourth proportional to 10,832.52, 16,241.78 and 7,123.52 is: 10,680.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.52 : 16,241.78 = 7,123.52 : x
  2. Step 2: Convert to fraction form
    10,832.52/16,241.78 = 7,123.52/x
  3. Step 3: Cross multiply
    10,832.52x = 16,241.78 × 7,123.52
  4. Step 4: Simplify right side
    10,832.52x = 115,698,527.84
  5. Step 5: Solve for x
    x = 115,698,527.84/10,832.52
  6. Step 6: Final answer
    x = 10,680.67

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