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Finding the Fourth Proportional to 10,692.49, 16,041.35 and 7,536.09

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Solution

The fourth proportional to 10,692.49, 16,041.35 and 7,536.09 is: 11,305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.49 : 16,041.35 = 7,536.09 : x
  2. Step 2: Convert to fraction form
    10,692.49/16,041.35 = 7,536.09/x
  3. Step 3: Cross multiply
    10,692.49x = 16,041.35 × 7,536.09
  4. Step 4: Simplify right side
    10,692.49x = 120,889,057.32
  5. Step 5: Solve for x
    x = 120,889,057.32/10,692.49
  6. Step 6: Final answer
    x = 11,305.98

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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.