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Finding the Fourth Proportional to 7,229.04, 10,836.90 and 2,546.50

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Solution

The fourth proportional to 7,229.04, 10,836.90 and 2,546.50 is: 3,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.04 : 10,836.90 = 2,546.50 : x
  2. Step 2: Convert to fraction form
    7,229.04/10,836.90 = 2,546.50/x
  3. Step 3: Cross multiply
    7,229.04x = 10,836.90 × 2,546.50
  4. Step 4: Simplify right side
    7,229.04x = 27,596,138.76
  5. Step 5: Solve for x
    x = 27,596,138.76/7,229.04
  6. Step 6: Final answer
    x = 3,817.40

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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.