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Finding the Fourth Proportional to 10,366, 14,305.09 and 5,650.30

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Solution

The fourth proportional to 10,366, 14,305.09 and 5,650.30 is: 7,797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366 : 14,305.09 = 5,650.30 : x
  2. Step 2: Convert to fraction form
    10,366/14,305.09 = 5,650.30/x
  3. Step 3: Cross multiply
    10,366x = 14,305.09 × 5,650.30
  4. Step 4: Simplify right side
    10,366x = 80,828,050.03
  5. Step 5: Solve for x
    x = 80,828,050.03/10,366
  6. Step 6: Final answer
    x = 7,797.42

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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.