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Finding the Fourth Proportional to 10,692.89, 14,752.76 and 5,976.26

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Solution

The fourth proportional to 10,692.89, 14,752.76 and 5,976.26 is: 8,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.89 : 14,752.76 = 5,976.26 : x
  2. Step 2: Convert to fraction form
    10,692.89/14,752.76 = 5,976.26/x
  3. Step 3: Cross multiply
    10,692.89x = 14,752.76 × 5,976.26
  4. Step 4: Simplify right side
    10,692.89x = 88,166,225.83
  5. Step 5: Solve for x
    x = 88,166,225.83/10,692.89
  6. Step 6: Final answer
    x = 8,245.32

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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.