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Finding the Fourth Proportional to 10,805.59, 16,204.62 and 3,785.45

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Solution

The fourth proportional to 10,805.59, 16,204.62 and 3,785.45 is: 5,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.59 : 16,204.62 = 3,785.45 : x
  2. Step 2: Convert to fraction form
    10,805.59/16,204.62 = 3,785.45/x
  3. Step 3: Cross multiply
    10,805.59x = 16,204.62 × 3,785.45
  4. Step 4: Simplify right side
    10,805.59x = 61,341,711.95
  5. Step 5: Solve for x
    x = 61,341,711.95/10,805.59
  6. Step 6: Final answer
    x = 5,676.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.