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Finding the Fourth Proportional to 10,692.26, 16,029.74 and 4,456.97

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Solution

The fourth proportional to 10,692.26, 16,029.74 and 4,456.97 is: 6,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.26 : 16,029.74 = 4,456.97 : x
  2. Step 2: Convert to fraction form
    10,692.26/16,029.74 = 4,456.97/x
  3. Step 3: Cross multiply
    10,692.26x = 16,029.74 × 4,456.97
  4. Step 4: Simplify right side
    10,692.26x = 71,444,070.29
  5. Step 5: Solve for x
    x = 71,444,070.29/10,692.26
  6. Step 6: Final answer
    x = 6,681.85

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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.