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Finding the Fourth Proportional to 8,380.59, 12,570.89 and 2,140.38

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Solution

The fourth proportional to 8,380.59, 12,570.89 and 2,140.38 is: 3,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.59 : 12,570.89 = 2,140.38 : x
  2. Step 2: Convert to fraction form
    8,380.59/12,570.89 = 2,140.38/x
  3. Step 3: Cross multiply
    8,380.59x = 12,570.89 × 2,140.38
  4. Step 4: Simplify right side
    8,380.59x = 26,906,517.98
  5. Step 5: Solve for x
    x = 26,906,517.98/8,380.59
  6. Step 6: Final answer
    x = 3,210.58

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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.