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Finding the Fourth Proportional to 7,874.88, 11,800.41 and 4,751.41

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Solution

The fourth proportional to 7,874.88, 11,800.41 and 4,751.41 is: 7,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.88 : 11,800.41 = 4,751.41 : x
  2. Step 2: Convert to fraction form
    7,874.88/11,800.41 = 4,751.41/x
  3. Step 3: Cross multiply
    7,874.88x = 11,800.41 × 4,751.41
  4. Step 4: Simplify right side
    7,874.88x = 56,068,586.08
  5. Step 5: Solve for x
    x = 56,068,586.08/7,874.88
  6. Step 6: Final answer
    x = 7,119.93

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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.