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Finding the Fourth Proportional to 7,205.68, 10,813.34 and 2,525.68

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Solution

The fourth proportional to 7,205.68, 10,813.34 and 2,525.68 is: 3,790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.68 : 10,813.34 = 2,525.68 : x
  2. Step 2: Convert to fraction form
    7,205.68/10,813.34 = 2,525.68/x
  3. Step 3: Cross multiply
    7,205.68x = 10,813.34 × 2,525.68
  4. Step 4: Simplify right side
    7,205.68x = 27,311,036.57
  5. Step 5: Solve for x
    x = 27,311,036.57/7,205.68
  6. Step 6: Final answer
    x = 3,790.21

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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.