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Finding the Fourth Proportional to 6,874.46, 10,310.40 and 1,944.06

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Solution

The fourth proportional to 6,874.46, 10,310.40 and 1,944.06 is: 2,915.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.46 : 10,310.40 = 1,944.06 : x
  2. Step 2: Convert to fraction form
    6,874.46/10,310.40 = 1,944.06/x
  3. Step 3: Cross multiply
    6,874.46x = 10,310.40 × 1,944.06
  4. Step 4: Simplify right side
    6,874.46x = 20,044,026.50
  5. Step 5: Solve for x
    x = 20,044,026.50/6,874.46
  6. Step 6: Final answer
    x = 2,915.72

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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.