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Finding the Fourth Proportional to 11,227.98, 16,842 and 3,436.76

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Solution

The fourth proportional to 11,227.98, 16,842 and 3,436.76 is: 5,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.98 : 16,842 = 3,436.76 : x
  2. Step 2: Convert to fraction form
    11,227.98/16,842 = 3,436.76/x
  3. Step 3: Cross multiply
    11,227.98x = 16,842 × 3,436.76
  4. Step 4: Simplify right side
    11,227.98x = 57,881,911.92
  5. Step 5: Solve for x
    x = 57,881,911.92/11,227.98
  6. Step 6: Final answer
    x = 5,155.15

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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.