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Finding the Fourth Proportional to 7,135.97, 10,705.32 and 2,205.43

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Solution

The fourth proportional to 7,135.97, 10,705.32 and 2,205.43 is: 3,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.97 : 10,705.32 = 2,205.43 : x
  2. Step 2: Convert to fraction form
    7,135.97/10,705.32 = 2,205.43/x
  3. Step 3: Cross multiply
    7,135.97x = 10,705.32 × 2,205.43
  4. Step 4: Simplify right side
    7,135.97x = 23,609,807.12
  5. Step 5: Solve for x
    x = 23,609,807.12/7,135.97
  6. Step 6: Final answer
    x = 3,308.57

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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.