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Finding the Fourth Proportional to 7,205.84, 10,811.90 and 2,529.20

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Solution

The fourth proportional to 7,205.84, 10,811.90 and 2,529.20 is: 3,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.84 : 10,811.90 = 2,529.20 : x
  2. Step 2: Convert to fraction form
    7,205.84/10,811.90 = 2,529.20/x
  3. Step 3: Cross multiply
    7,205.84x = 10,811.90 × 2,529.20
  4. Step 4: Simplify right side
    7,205.84x = 27,345,457.48
  5. Step 5: Solve for x
    x = 27,345,457.48/7,205.84
  6. Step 6: Final answer
    x = 3,794.90

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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.