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Finding the Fourth Proportional to 11,704.23, 16,151.49 and 6,398.93

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Solution

The fourth proportional to 11,704.23, 16,151.49 and 6,398.93 is: 8,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.23 : 16,151.49 = 6,398.93 : x
  2. Step 2: Convert to fraction form
    11,704.23/16,151.49 = 6,398.93/x
  3. Step 3: Cross multiply
    11,704.23x = 16,151.49 × 6,398.93
  4. Step 4: Simplify right side
    11,704.23x = 103,352,253.91
  5. Step 5: Solve for x
    x = 103,352,253.91/11,704.23
  6. Step 6: Final answer
    x = 8,830.33

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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.