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Finding the Fourth Proportional to 7,126.50, 10,692.06 and 3,429.02

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Solution

The fourth proportional to 7,126.50, 10,692.06 and 3,429.02 is: 5,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.50 : 10,692.06 = 3,429.02 : x
  2. Step 2: Convert to fraction form
    7,126.50/10,692.06 = 3,429.02/x
  3. Step 3: Cross multiply
    7,126.50x = 10,692.06 × 3,429.02
  4. Step 4: Simplify right side
    7,126.50x = 36,663,287.58
  5. Step 5: Solve for x
    x = 36,663,287.58/7,126.50
  6. Step 6: Final answer
    x = 5,144.64

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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.