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Finding the Fourth Proportional to 10,775.66, 16,168.34 and 4,933.94

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Solution

The fourth proportional to 10,775.66, 16,168.34 and 4,933.94 is: 7,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.66 : 16,168.34 = 4,933.94 : x
  2. Step 2: Convert to fraction form
    10,775.66/16,168.34 = 4,933.94/x
  3. Step 3: Cross multiply
    10,775.66x = 16,168.34 × 4,933.94
  4. Step 4: Simplify right side
    10,775.66x = 79,773,550.95
  5. Step 5: Solve for x
    x = 79,773,550.95/10,775.66
  6. Step 6: Final answer
    x = 7,403.13

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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.