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Finding the Fourth Proportional to 10,692.52, 14,753.32 and 6,213.68

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Solution

The fourth proportional to 10,692.52, 14,753.32 and 6,213.68 is: 8,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.52 : 14,753.32 = 6,213.68 : x
  2. Step 2: Convert to fraction form
    10,692.52/14,753.32 = 6,213.68/x
  3. Step 3: Cross multiply
    10,692.52x = 14,753.32 × 6,213.68
  4. Step 4: Simplify right side
    10,692.52x = 91,672,409.42
  5. Step 5: Solve for x
    x = 91,672,409.42/10,692.52
  6. Step 6: Final answer
    x = 8,573.51

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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.