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Finding the Fourth Proportional to 6,732.08, 10,099.38 and 2,114

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Solution

The fourth proportional to 6,732.08, 10,099.38 and 2,114 is: 3,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.08 : 10,099.38 = 2,114 : x
  2. Step 2: Convert to fraction form
    6,732.08/10,099.38 = 2,114/x
  3. Step 3: Cross multiply
    6,732.08x = 10,099.38 × 2,114
  4. Step 4: Simplify right side
    6,732.08x = 21,350,089.32
  5. Step 5: Solve for x
    x = 21,350,089.32/6,732.08
  6. Step 6: Final answer
    x = 3,171.40

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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.