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Finding the Fourth Proportional to 10,933, 16,399.50 and 3,543.64

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Solution

The fourth proportional to 10,933, 16,399.50 and 3,543.64 is: 5,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933 : 16,399.50 = 3,543.64 : x
  2. Step 2: Convert to fraction form
    10,933/16,399.50 = 3,543.64/x
  3. Step 3: Cross multiply
    10,933x = 16,399.50 × 3,543.64
  4. Step 4: Simplify right side
    10,933x = 58,113,924.18
  5. Step 5: Solve for x
    x = 58,113,924.18/10,933
  6. Step 6: Final answer
    x = 5,315.46

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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.