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Finding the Fourth Proportional to 10,842.03, 16,253.19 and 3,914.91

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Solution

The fourth proportional to 10,842.03, 16,253.19 and 3,914.91 is: 5,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.03 : 16,253.19 = 3,914.91 : x
  2. Step 2: Convert to fraction form
    10,842.03/16,253.19 = 3,914.91/x
  3. Step 3: Cross multiply
    10,842.03x = 16,253.19 × 3,914.91
  4. Step 4: Simplify right side
    10,842.03x = 63,629,776.06
  5. Step 5: Solve for x
    x = 63,629,776.06/10,842.03
  6. Step 6: Final answer
    x = 5,868.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.