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Finding the Fourth Proportional to 7,692.46, 10,617.69 and 5,454.70

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Solution

The fourth proportional to 7,692.46, 10,617.69 and 5,454.70 is: 7,528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.46 : 10,617.69 = 5,454.70 : x
  2. Step 2: Convert to fraction form
    7,692.46/10,617.69 = 5,454.70/x
  3. Step 3: Cross multiply
    7,692.46x = 10,617.69 × 5,454.70
  4. Step 4: Simplify right side
    7,692.46x = 57,916,313.64
  5. Step 5: Solve for x
    x = 57,916,313.64/7,692.46
  6. Step 6: Final answer
    x = 7,528.97

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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.