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Finding the Fourth Proportional to 7,692.96, 10,612.49 and 4,821.17

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Solution

The fourth proportional to 7,692.96, 10,612.49 and 4,821.17 is: 6,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.96 : 10,612.49 = 4,821.17 : x
  2. Step 2: Convert to fraction form
    7,692.96/10,612.49 = 4,821.17/x
  3. Step 3: Cross multiply
    7,692.96x = 10,612.49 × 4,821.17
  4. Step 4: Simplify right side
    7,692.96x = 51,164,541.25
  5. Step 5: Solve for x
    x = 51,164,541.25/7,692.96
  6. Step 6: Final answer
    x = 6,650.83

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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.