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Finding the Fourth Proportional to 10,692.34, 16,040.80 and 5,428.05

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Solution

The fourth proportional to 10,692.34, 16,040.80 and 5,428.05 is: 8,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.34 : 16,040.80 = 5,428.05 : x
  2. Step 2: Convert to fraction form
    10,692.34/16,040.80 = 5,428.05/x
  3. Step 3: Cross multiply
    10,692.34x = 16,040.80 × 5,428.05
  4. Step 4: Simplify right side
    10,692.34x = 87,070,211.07
  5. Step 5: Solve for x
    x = 87,070,211.07/10,692.34
  6. Step 6: Final answer
    x = 8,143.23

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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.