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Finding the Fourth Proportional to 7,214.68, 10,817.64 and 2,826.88

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Solution

The fourth proportional to 7,214.68, 10,817.64 and 2,826.88 is: 4,238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.68 : 10,817.64 = 2,826.88 : x
  2. Step 2: Convert to fraction form
    7,214.68/10,817.64 = 2,826.88/x
  3. Step 3: Cross multiply
    7,214.68x = 10,817.64 × 2,826.88
  4. Step 4: Simplify right side
    7,214.68x = 30,580,170.16
  5. Step 5: Solve for x
    x = 30,580,170.16/7,214.68
  6. Step 6: Final answer
    x = 4,238.60

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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.