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Finding the Fourth Proportional to 7,847.38, 11,774.10 and 3,461.74

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Solution

The fourth proportional to 7,847.38, 11,774.10 and 3,461.74 is: 5,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.38 : 11,774.10 = 3,461.74 : x
  2. Step 2: Convert to fraction form
    7,847.38/11,774.10 = 3,461.74/x
  3. Step 3: Cross multiply
    7,847.38x = 11,774.10 × 3,461.74
  4. Step 4: Simplify right side
    7,847.38x = 40,758,872.93
  5. Step 5: Solve for x
    x = 40,758,872.93/7,847.38
  6. Step 6: Final answer
    x = 5,193.95

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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.