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Finding the Fourth Proportional to 7,206.70, 10,810.34 and 3,257.20

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Solution

The fourth proportional to 7,206.70, 10,810.34 and 3,257.20 is: 4,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.70 : 10,810.34 = 3,257.20 : x
  2. Step 2: Convert to fraction form
    7,206.70/10,810.34 = 3,257.20/x
  3. Step 3: Cross multiply
    7,206.70x = 10,810.34 × 3,257.20
  4. Step 4: Simplify right side
    7,206.70x = 35,211,439.45
  5. Step 5: Solve for x
    x = 35,211,439.45/7,206.70
  6. Step 6: Final answer
    x = 4,885.93

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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.