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Finding the Fourth Proportional to 6,731.57, 10,098.02 and 2,575.07

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Solution

The fourth proportional to 6,731.57, 10,098.02 and 2,575.07 is: 3,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.57 : 10,098.02 = 2,575.07 : x
  2. Step 2: Convert to fraction form
    6,731.57/10,098.02 = 2,575.07/x
  3. Step 3: Cross multiply
    6,731.57x = 10,098.02 × 2,575.07
  4. Step 4: Simplify right side
    6,731.57x = 26,003,095.49
  5. Step 5: Solve for x
    x = 26,003,095.49/6,731.57
  6. Step 6: Final answer
    x = 3,862.86

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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.