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Finding the Fourth Proportional to 11,314.90, 16,974.12 and 5,471.92

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Solution

The fourth proportional to 11,314.90, 16,974.12 and 5,471.92 is: 8,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.90 : 16,974.12 = 5,471.92 : x
  2. Step 2: Convert to fraction form
    11,314.90/16,974.12 = 5,471.92/x
  3. Step 3: Cross multiply
    11,314.90x = 16,974.12 × 5,471.92
  4. Step 4: Simplify right side
    11,314.90x = 92,881,026.71
  5. Step 5: Solve for x
    x = 92,881,026.71/11,314.90
  6. Step 6: Final answer
    x = 8,208.74

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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.