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Finding the Fourth Proportional to 8,178.65, 12,270.23 and 2,914.86

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Solution

The fourth proportional to 8,178.65, 12,270.23 and 2,914.86 is: 4,373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.65 : 12,270.23 = 2,914.86 : x
  2. Step 2: Convert to fraction form
    8,178.65/12,270.23 = 2,914.86/x
  3. Step 3: Cross multiply
    8,178.65x = 12,270.23 × 2,914.86
  4. Step 4: Simplify right side
    8,178.65x = 35,765,988.04
  5. Step 5: Solve for x
    x = 35,765,988.04/8,178.65
  6. Step 6: Final answer
    x = 4,373.09

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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.