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Finding the Fourth Proportional to 11,146, 16,726.68 and 3,850

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Solution

The fourth proportional to 11,146, 16,726.68 and 3,850 is: 5,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146 : 16,726.68 = 3,850 : x
  2. Step 2: Convert to fraction form
    11,146/16,726.68 = 3,850/x
  3. Step 3: Cross multiply
    11,146x = 16,726.68 × 3,850
  4. Step 4: Simplify right side
    11,146x = 64,397,718
  5. Step 5: Solve for x
    x = 64,397,718/11,146
  6. Step 6: Final answer
    x = 5,777.65

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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.