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Finding the Fourth Proportional to 7,113.68, 10,671.04 and 2,731.14

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Solution

The fourth proportional to 7,113.68, 10,671.04 and 2,731.14 is: 4,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.68 : 10,671.04 = 2,731.14 : x
  2. Step 2: Convert to fraction form
    7,113.68/10,671.04 = 2,731.14/x
  3. Step 3: Cross multiply
    7,113.68x = 10,671.04 × 2,731.14
  4. Step 4: Simplify right side
    7,113.68x = 29,144,103.85
  5. Step 5: Solve for x
    x = 29,144,103.85/7,113.68
  6. Step 6: Final answer
    x = 4,096.91

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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.