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Finding the Fourth Proportional to 10,041.65, 13,859.18 and 5,791.94

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Solution

The fourth proportional to 10,041.65, 13,859.18 and 5,791.94 is: 7,993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.65 : 13,859.18 = 5,791.94 : x
  2. Step 2: Convert to fraction form
    10,041.65/13,859.18 = 5,791.94/x
  3. Step 3: Cross multiply
    10,041.65x = 13,859.18 × 5,791.94
  4. Step 4: Simplify right side
    10,041.65x = 80,271,588.14
  5. Step 5: Solve for x
    x = 80,271,588.14/10,041.65
  6. Step 6: Final answer
    x = 7,993.87

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Why These Related Problems?

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