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Finding the Fourth Proportional to 7,135.76, 10,692.12 and 4,394

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Solution

The fourth proportional to 7,135.76, 10,692.12 and 4,394 is: 6,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.76 : 10,692.12 = 4,394 : x
  2. Step 2: Convert to fraction form
    7,135.76/10,692.12 = 4,394/x
  3. Step 3: Cross multiply
    7,135.76x = 10,692.12 × 4,394
  4. Step 4: Simplify right side
    7,135.76x = 46,981,175.28
  5. Step 5: Solve for x
    x = 46,981,175.28/7,135.76
  6. Step 6: Final answer
    x = 6,583.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.