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Finding the Fourth Proportional to 10,729.12, 16,093.68 and 3,802

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Solution

The fourth proportional to 10,729.12, 16,093.68 and 3,802 is: 5,703.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.12 : 16,093.68 = 3,802 : x
  2. Step 2: Convert to fraction form
    10,729.12/16,093.68 = 3,802/x
  3. Step 3: Cross multiply
    10,729.12x = 16,093.68 × 3,802
  4. Step 4: Simplify right side
    10,729.12x = 61,188,171.36
  5. Step 5: Solve for x
    x = 61,188,171.36/10,729.12
  6. Step 6: Final answer
    x = 5,703.00

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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.