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Finding the Fourth Proportional to 10,785.59, 16,176.99 and 8,016.30

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Solution

The fourth proportional to 10,785.59, 16,176.99 and 8,016.30 is: 12,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.59 : 16,176.99 = 8,016.30 : x
  2. Step 2: Convert to fraction form
    10,785.59/16,176.99 = 8,016.30/x
  3. Step 3: Cross multiply
    10,785.59x = 16,176.99 × 8,016.30
  4. Step 4: Simplify right side
    10,785.59x = 129,679,604.94
  5. Step 5: Solve for x
    x = 129,679,604.94/10,785.59
  6. Step 6: Final answer
    x = 12,023.42

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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.