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Finding the Fourth Proportional to 8,253.21, 12,378.65 and 2,706.80

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Solution

The fourth proportional to 8,253.21, 12,378.65 and 2,706.80 is: 4,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.21 : 12,378.65 = 2,706.80 : x
  2. Step 2: Convert to fraction form
    8,253.21/12,378.65 = 2,706.80/x
  3. Step 3: Cross multiply
    8,253.21x = 12,378.65 × 2,706.80
  4. Step 4: Simplify right side
    8,253.21x = 33,506,454.39
  5. Step 5: Solve for x
    x = 33,506,454.39/8,253.21
  6. Step 6: Final answer
    x = 4,059.81

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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.