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Finding the Fourth Proportional to 10,865.99, 16,301.84 and 3,470.60

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Solution

The fourth proportional to 10,865.99, 16,301.84 and 3,470.60 is: 5,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.99 : 16,301.84 = 3,470.60 : x
  2. Step 2: Convert to fraction form
    10,865.99/16,301.84 = 3,470.60/x
  3. Step 3: Cross multiply
    10,865.99x = 16,301.84 × 3,470.60
  4. Step 4: Simplify right side
    10,865.99x = 56,577,067.04
  5. Step 5: Solve for x
    x = 56,577,067.04/10,865.99
  6. Step 6: Final answer
    x = 5,206.81

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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.