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Finding the Fourth Proportional to 10,228.80, 15,342.84 and 2,834.04

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Solution

The fourth proportional to 10,228.80, 15,342.84 and 2,834.04 is: 4,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.80 : 15,342.84 = 2,834.04 : x
  2. Step 2: Convert to fraction form
    10,228.80/15,342.84 = 2,834.04/x
  3. Step 3: Cross multiply
    10,228.80x = 15,342.84 × 2,834.04
  4. Step 4: Simplify right side
    10,228.80x = 43,482,222.27
  5. Step 5: Solve for x
    x = 43,482,222.27/10,228.80
  6. Step 6: Final answer
    x = 4,250.96

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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.