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Finding the Fourth Proportional to 11,704.14, 16,151.76 and 6,398.96

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Solution

The fourth proportional to 11,704.14, 16,151.76 and 6,398.96 is: 8,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.14 : 16,151.76 = 6,398.96 : x
  2. Step 2: Convert to fraction form
    11,704.14/16,151.76 = 6,398.96/x
  3. Step 3: Cross multiply
    11,704.14x = 16,151.76 × 6,398.96
  4. Step 4: Simplify right side
    11,704.14x = 103,354,466.17
  5. Step 5: Solve for x
    x = 103,354,466.17/11,704.14
  6. Step 6: Final answer
    x = 8,830.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.