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Finding the Fourth Proportional to 6,735.79, 10,099.64 and 2,576.10

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Solution

The fourth proportional to 6,735.79, 10,099.64 and 2,576.10 is: 3,862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.79 : 10,099.64 = 2,576.10 : x
  2. Step 2: Convert to fraction form
    6,735.79/10,099.64 = 2,576.10/x
  3. Step 3: Cross multiply
    6,735.79x = 10,099.64 × 2,576.10
  4. Step 4: Simplify right side
    6,735.79x = 26,017,712.43
  5. Step 5: Solve for x
    x = 26,017,712.43/6,735.79
  6. Step 6: Final answer
    x = 3,862.61

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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.