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Finding the Fourth Proportional to 10,205.57, 15,293.75 and 5,813.96

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Solution

The fourth proportional to 10,205.57, 15,293.75 and 5,813.96 is: 8,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.57 : 15,293.75 = 5,813.96 : x
  2. Step 2: Convert to fraction form
    10,205.57/15,293.75 = 5,813.96/x
  3. Step 3: Cross multiply
    10,205.57x = 15,293.75 × 5,813.96
  4. Step 4: Simplify right side
    10,205.57x = 88,917,188.82
  5. Step 5: Solve for x
    x = 88,917,188.82/10,205.57
  6. Step 6: Final answer
    x = 8,712.61

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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.