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Finding the Fourth Proportional to 10,811.04, 14,919.20 and 5,843.04

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Solution

The fourth proportional to 10,811.04, 14,919.20 and 5,843.04 is: 8,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.04 : 14,919.20 = 5,843.04 : x
  2. Step 2: Convert to fraction form
    10,811.04/14,919.20 = 5,843.04/x
  3. Step 3: Cross multiply
    10,811.04x = 14,919.20 × 5,843.04
  4. Step 4: Simplify right side
    10,811.04x = 87,173,482.37
  5. Step 5: Solve for x
    x = 87,173,482.37/10,811.04
  6. Step 6: Final answer
    x = 8,063.38

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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.