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Finding the Fourth Proportional to 7,136.59, 10,705.91 and 2,206.66

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Solution

The fourth proportional to 7,136.59, 10,705.91 and 2,206.66 is: 3,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.59 : 10,705.91 = 2,206.66 : x
  2. Step 2: Convert to fraction form
    7,136.59/10,705.91 = 2,206.66/x
  3. Step 3: Cross multiply
    7,136.59x = 10,705.91 × 2,206.66
  4. Step 4: Simplify right side
    7,136.59x = 23,624,303.36
  5. Step 5: Solve for x
    x = 23,624,303.36/7,136.59
  6. Step 6: Final answer
    x = 3,310.31

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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.