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Finding the Fourth Proportional to 7,692.40, 10,612.92 and 4,706.56

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Solution

The fourth proportional to 7,692.40, 10,612.92 and 4,706.56 is: 6,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.40 : 10,612.92 = 4,706.56 : x
  2. Step 2: Convert to fraction form
    7,692.40/10,612.92 = 4,706.56/x
  3. Step 3: Cross multiply
    7,692.40x = 10,612.92 × 4,706.56
  4. Step 4: Simplify right side
    7,692.40x = 49,950,344.76
  5. Step 5: Solve for x
    x = 49,950,344.76/7,692.40
  6. Step 6: Final answer
    x = 6,493.47

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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.