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Finding the Fourth Proportional to 8,273.46, 12,409.55 and 2,117.30

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Solution

The fourth proportional to 8,273.46, 12,409.55 and 2,117.30 is: 3,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.46 : 12,409.55 = 2,117.30 : x
  2. Step 2: Convert to fraction form
    8,273.46/12,409.55 = 2,117.30/x
  3. Step 3: Cross multiply
    8,273.46x = 12,409.55 × 2,117.30
  4. Step 4: Simplify right side
    8,273.46x = 26,274,740.22
  5. Step 5: Solve for x
    x = 26,274,740.22/8,273.46
  6. Step 6: Final answer
    x = 3,175.79

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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.