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Finding the Fourth Proportional to 10,773.95, 16,169.02 and 4,934.66

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Solution

The fourth proportional to 10,773.95, 16,169.02 and 4,934.66 is: 7,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.95 : 16,169.02 = 4,934.66 : x
  2. Step 2: Convert to fraction form
    10,773.95/16,169.02 = 4,934.66/x
  3. Step 3: Cross multiply
    10,773.95x = 16,169.02 × 4,934.66
  4. Step 4: Simplify right side
    10,773.95x = 79,788,523.05
  5. Step 5: Solve for x
    x = 79,788,523.05/10,773.95
  6. Step 6: Final answer
    x = 7,405.69

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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.