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Finding the Fourth Proportional to 10,692.64, 14,755.36 and 5,976

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Solution

The fourth proportional to 10,692.64, 14,755.36 and 5,976 is: 8,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.64 : 14,755.36 = 5,976 : x
  2. Step 2: Convert to fraction form
    10,692.64/14,755.36 = 5,976/x
  3. Step 3: Cross multiply
    10,692.64x = 14,755.36 × 5,976
  4. Step 4: Simplify right side
    10,692.64x = 88,178,031.36
  5. Step 5: Solve for x
    x = 88,178,031.36/10,692.64
  6. Step 6: Final answer
    x = 8,246.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.