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Finding the Fourth Proportional to 7,136.20, 10,698.99 and 3,434.95

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Solution

The fourth proportional to 7,136.20, 10,698.99 and 3,434.95 is: 5,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.20 : 10,698.99 = 3,434.95 : x
  2. Step 2: Convert to fraction form
    7,136.20/10,698.99 = 3,434.95/x
  3. Step 3: Cross multiply
    7,136.20x = 10,698.99 × 3,434.95
  4. Step 4: Simplify right side
    7,136.20x = 36,750,495.70
  5. Step 5: Solve for x
    x = 36,750,495.70/7,136.20
  6. Step 6: Final answer
    x = 5,149.87

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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.