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Finding the Fourth Proportional to 7,137.20, 10,700.49 and 3,435.95

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Solution

The fourth proportional to 7,137.20, 10,700.49 and 3,435.95 is: 5,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.20 : 10,700.49 = 3,435.95 : x
  2. Step 2: Convert to fraction form
    7,137.20/10,700.49 = 3,435.95/x
  3. Step 3: Cross multiply
    7,137.20x = 10,700.49 × 3,435.95
  4. Step 4: Simplify right side
    7,137.20x = 36,766,348.62
  5. Step 5: Solve for x
    x = 36,766,348.62/7,137.20
  6. Step 6: Final answer
    x = 5,151.37

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