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Finding the Fourth Proportional to 10,699.27, 16,042.73 and 3,301.75

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Solution

The fourth proportional to 10,699.27, 16,042.73 and 3,301.75 is: 4,950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.27 : 16,042.73 = 3,301.75 : x
  2. Step 2: Convert to fraction form
    10,699.27/16,042.73 = 3,301.75/x
  3. Step 3: Cross multiply
    10,699.27x = 16,042.73 × 3,301.75
  4. Step 4: Simplify right side
    10,699.27x = 52,968,987.06
  5. Step 5: Solve for x
    x = 52,968,987.06/10,699.27
  6. Step 6: Final answer
    x = 4,950.71

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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.