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Finding the Fourth Proportional to 10,934.66, 16,404.08 and 4,693.78

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Solution

The fourth proportional to 10,934.66, 16,404.08 and 4,693.78 is: 7,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.66 : 16,404.08 = 4,693.78 : x
  2. Step 2: Convert to fraction form
    10,934.66/16,404.08 = 4,693.78/x
  3. Step 3: Cross multiply
    10,934.66x = 16,404.08 × 4,693.78
  4. Step 4: Simplify right side
    10,934.66x = 76,997,142.62
  5. Step 5: Solve for x
    x = 76,997,142.62/10,934.66
  6. Step 6: Final answer
    x = 7,041.57

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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.