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Finding the Fourth Proportional to 7,129.60, 10,692.78 and 3,429.52

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Solution

The fourth proportional to 7,129.60, 10,692.78 and 3,429.52 is: 5,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.60 : 10,692.78 = 3,429.52 : x
  2. Step 2: Convert to fraction form
    7,129.60/10,692.78 = 3,429.52/x
  3. Step 3: Cross multiply
    7,129.60x = 10,692.78 × 3,429.52
  4. Step 4: Simplify right side
    7,129.60x = 36,671,102.87
  5. Step 5: Solve for x
    x = 36,671,102.87/7,129.60
  6. Step 6: Final answer
    x = 5,143.50

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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.