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Finding the Fourth Proportional to 7,692.10, 10,612.66 and 4,706.44

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Solution

The fourth proportional to 7,692.10, 10,612.66 and 4,706.44 is: 6,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.10 : 10,612.66 = 4,706.44 : x
  2. Step 2: Convert to fraction form
    7,692.10/10,612.66 = 4,706.44/x
  3. Step 3: Cross multiply
    7,692.10x = 10,612.66 × 4,706.44
  4. Step 4: Simplify right side
    7,692.10x = 49,947,809.23
  5. Step 5: Solve for x
    x = 49,947,809.23/7,692.10
  6. Step 6: Final answer
    x = 6,493.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.