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Finding the Fourth Proportional to 10,366, 15,550.56 and 3,343.66

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Solution

The fourth proportional to 10,366, 15,550.56 and 3,343.66 is: 5,015.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366 : 15,550.56 = 3,343.66 : x
  2. Step 2: Convert to fraction form
    10,366/15,550.56 = 3,343.66/x
  3. Step 3: Cross multiply
    10,366x = 15,550.56 × 3,343.66
  4. Step 4: Simplify right side
    10,366x = 51,995,785.45
  5. Step 5: Solve for x
    x = 51,995,785.45/10,366
  6. Step 6: Final answer
    x = 5,015.99

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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.