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Finding the Fourth Proportional to 10,692.38, 16,045.25 and 5,146.31

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Solution

The fourth proportional to 10,692.38, 16,045.25 and 5,146.31 is: 7,722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.38 : 16,045.25 = 5,146.31 : x
  2. Step 2: Convert to fraction form
    10,692.38/16,045.25 = 5,146.31/x
  3. Step 3: Cross multiply
    10,692.38x = 16,045.25 × 5,146.31
  4. Step 4: Simplify right side
    10,692.38x = 82,573,724.57
  5. Step 5: Solve for x
    x = 82,573,724.57/10,692.38
  6. Step 6: Final answer
    x = 7,722.67

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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.