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Finding the Fourth Proportional to 10,809.35, 16,215.37 and 3,412.72

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Solution

The fourth proportional to 10,809.35, 16,215.37 and 3,412.72 is: 5,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.35 : 16,215.37 = 3,412.72 : x
  2. Step 2: Convert to fraction form
    10,809.35/16,215.37 = 3,412.72/x
  3. Step 3: Cross multiply
    10,809.35x = 16,215.37 × 3,412.72
  4. Step 4: Simplify right side
    10,809.35x = 55,338,517.51
  5. Step 5: Solve for x
    x = 55,338,517.51/10,809.35
  6. Step 6: Final answer
    x = 5,119.50

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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.