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Finding the Fourth Proportional to 6,731.17, 10,096.04 and 2,348.71

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Solution

The fourth proportional to 6,731.17, 10,096.04 and 2,348.71 is: 3,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.17 : 10,096.04 = 2,348.71 : x
  2. Step 2: Convert to fraction form
    6,731.17/10,096.04 = 2,348.71/x
  3. Step 3: Cross multiply
    6,731.17x = 10,096.04 × 2,348.71
  4. Step 4: Simplify right side
    6,731.17x = 23,712,658.36
  5. Step 5: Solve for x
    x = 23,712,658.36/6,731.17
  6. Step 6: Final answer
    x = 3,522.81

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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.